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Finding the Fourth Proportional to 102.54, 141.42 and 69.72

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Solution

The fourth proportional to 102.54, 141.42 and 69.72 is: 96.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.54 : 141.42 = 69.72 : x
  2. Step 2: Convert to fraction form
    102.54/141.42 = 69.72/x
  3. Step 3: Cross multiply
    102.54x = 141.42 × 69.72
  4. Step 4: Simplify right side
    102.54x = 9,859.80
  5. Step 5: Solve for x
    x = 9,859.80/102.54
  6. Step 6: Final answer
    x = 96.16

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