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Finding the Fourth Proportional to 99.53, 137.17 and 85.65

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Solution

The fourth proportional to 99.53, 137.17 and 85.65 is: 118.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.53 : 137.17 = 85.65 : x
  2. Step 2: Convert to fraction form
    99.53/137.17 = 85.65/x
  3. Step 3: Cross multiply
    99.53x = 137.17 × 85.65
  4. Step 4: Simplify right side
    99.53x = 11,748.18
  5. Step 5: Solve for x
    x = 11,748.18/99.53
  6. Step 6: Final answer
    x = 118.04

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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.