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Finding the Fourth Proportional to 175.75, 242.57 and 102.07

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Solution

The fourth proportional to 175.75, 242.57 and 102.07 is: 140.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.75 : 242.57 = 102.07 : x
  2. Step 2: Convert to fraction form
    175.75/242.57 = 102.07/x
  3. Step 3: Cross multiply
    175.75x = 242.57 × 102.07
  4. Step 4: Simplify right side
    175.75x = 24,759.12
  5. Step 5: Solve for x
    x = 24,759.12/175.75
  6. Step 6: Final answer
    x = 140.88

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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.