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Finding the Fourth Proportional to 102.25, 141.12 and 60.81

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Solution

The fourth proportional to 102.25, 141.12 and 60.81 is: 83.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.25 : 141.12 = 60.81 : x
  2. Step 2: Convert to fraction form
    102.25/141.12 = 60.81/x
  3. Step 3: Cross multiply
    102.25x = 141.12 × 60.81
  4. Step 4: Simplify right side
    102.25x = 8,581.66
  5. Step 5: Solve for x
    x = 8,581.66/102.25
  6. Step 6: Final answer
    x = 83.93

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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.