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Finding the Fourth Proportional to 102.13, 140.74 and 71.04

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Solution

The fourth proportional to 102.13, 140.74 and 71.04 is: 97.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.13 : 140.74 = 71.04 : x
  2. Step 2: Convert to fraction form
    102.13/140.74 = 71.04/x
  3. Step 3: Cross multiply
    102.13x = 140.74 × 71.04
  4. Step 4: Simplify right side
    102.13x = 9,998.52
  5. Step 5: Solve for x
    x = 9,998.52/102.13
  6. Step 6: Final answer
    x = 97.90

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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.