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Finding the Fourth Proportional to 112.50, 168.55 and 102.93

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Solution

The fourth proportional to 112.50, 168.55 and 102.93 is: 154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.50 : 168.55 = 102.93 : x
  2. Step 2: Convert to fraction form
    112.50/168.55 = 102.93/x
  3. Step 3: Cross multiply
    112.50x = 168.55 × 102.93
  4. Step 4: Simplify right side
    112.50x = 17,348.85
  5. Step 5: Solve for x
    x = 17,348.85/112.50
  6. Step 6: Final answer
    x = 154.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.