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Finding the Fourth Proportional to 102.08, 141.13 and 97.78

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Solution

The fourth proportional to 102.08, 141.13 and 97.78 is: 135.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.08 : 141.13 = 97.78 : x
  2. Step 2: Convert to fraction form
    102.08/141.13 = 97.78/x
  3. Step 3: Cross multiply
    102.08x = 141.13 × 97.78
  4. Step 4: Simplify right side
    102.08x = 13,799.69
  5. Step 5: Solve for x
    x = 13,799.69/102.08
  6. Step 6: Final answer
    x = 135.19

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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.