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Finding the Fourth Proportional to 91.52, 136.65 and 74.44

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Solution

The fourth proportional to 91.52, 136.65 and 74.44 is: 111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.52 : 136.65 = 74.44 : x
  2. Step 2: Convert to fraction form
    91.52/136.65 = 74.44/x
  3. Step 3: Cross multiply
    91.52x = 136.65 × 74.44
  4. Step 4: Simplify right side
    91.52x = 10,171.70
  5. Step 5: Solve for x
    x = 10,171.70/91.52
  6. Step 6: Final answer
    x = 111.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.