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Finding the Fourth Proportional to 102.40, 141.08 and 84.81

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Solution

The fourth proportional to 102.40, 141.08 and 84.81 is: 116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.40 : 141.08 = 84.81 : x
  2. Step 2: Convert to fraction form
    102.40/141.08 = 84.81/x
  3. Step 3: Cross multiply
    102.40x = 141.08 × 84.81
  4. Step 4: Simplify right side
    102.40x = 11,965.21
  5. Step 5: Solve for x
    x = 11,965.21/102.40
  6. Step 6: Final answer
    x = 116.85

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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.