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Finding the Fourth Proportional to 102.18, 141.11 and 85.61

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Solution

The fourth proportional to 102.18, 141.11 and 85.61 is: 118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.18 : 141.11 = 85.61 : x
  2. Step 2: Convert to fraction form
    102.18/141.11 = 85.61/x
  3. Step 3: Cross multiply
    102.18x = 141.11 × 85.61
  4. Step 4: Simplify right side
    102.18x = 12,079.29
  5. Step 5: Solve for x
    x = 12,079.29/102.18
  6. Step 6: Final answer
    x = 118.22

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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.