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Finding the Fourth Proportional to 111.26, 166.17 and 90.74

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Solution

The fourth proportional to 111.26, 166.17 and 90.74 is: 135.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.26 : 166.17 = 90.74 : x
  2. Step 2: Convert to fraction form
    111.26/166.17 = 90.74/x
  3. Step 3: Cross multiply
    111.26x = 166.17 × 90.74
  4. Step 4: Simplify right side
    111.26x = 15,077.43
  5. Step 5: Solve for x
    x = 15,077.43/111.26
  6. Step 6: Final answer
    x = 135.52

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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.