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Finding the Fourth Proportional to 175.88, 242.71 and 102.19

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Solution

The fourth proportional to 175.88, 242.71 and 102.19 is: 141.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.88 : 242.71 = 102.19 : x
  2. Step 2: Convert to fraction form
    175.88/242.71 = 102.19/x
  3. Step 3: Cross multiply
    175.88x = 242.71 × 102.19
  4. Step 4: Simplify right side
    175.88x = 24,801.67
  5. Step 5: Solve for x
    x = 24,801.67/175.88
  6. Step 6: Final answer
    x = 141.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.