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Finding the Fourth Proportional to 90.90, 136.53 and 74.70

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Solution

The fourth proportional to 90.90, 136.53 and 74.70 is: 112.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.90 : 136.53 = 74.70 : x
  2. Step 2: Convert to fraction form
    90.90/136.53 = 74.70/x
  3. Step 3: Cross multiply
    90.90x = 136.53 × 74.70
  4. Step 4: Simplify right side
    90.90x = 10,198.79
  5. Step 5: Solve for x
    x = 10,198.79/90.90
  6. Step 6: Final answer
    x = 112.20

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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.