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Finding the Fourth Proportional to 102.16, 140.30 and 85.76

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Solution

The fourth proportional to 102.16, 140.30 and 85.76 is: 117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.16 : 140.30 = 85.76 : x
  2. Step 2: Convert to fraction form
    102.16/140.30 = 85.76/x
  3. Step 3: Cross multiply
    102.16x = 140.30 × 85.76
  4. Step 4: Simplify right side
    102.16x = 12,032.13
  5. Step 5: Solve for x
    x = 12,032.13/102.16
  6. Step 6: Final answer
    x = 117.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.