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Finding the Fourth Proportional to 111.87, 168.50 and 102.15

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Solution

The fourth proportional to 111.87, 168.50 and 102.15 is: 153.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.87 : 168.50 = 102.15 : x
  2. Step 2: Convert to fraction form
    111.87/168.50 = 102.15/x
  3. Step 3: Cross multiply
    111.87x = 168.50 × 102.15
  4. Step 4: Simplify right side
    111.87x = 17,212.53
  5. Step 5: Solve for x
    x = 17,212.53/111.87
  6. Step 6: Final answer
    x = 153.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.