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Finding the Fourth Proportional to 175.67, 242.48 and 102

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Solution

The fourth proportional to 175.67, 242.48 and 102 is: 140.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.67 : 242.48 = 102 : x
  2. Step 2: Convert to fraction form
    175.67/242.48 = 102/x
  3. Step 3: Cross multiply
    175.67x = 242.48 × 102
  4. Step 4: Simplify right side
    175.67x = 24,732.96
  5. Step 5: Solve for x
    x = 24,732.96/175.67
  6. Step 6: Final answer
    x = 140.79

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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.