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Finding the Fourth Proportional to 113.60, 169.42 and 101.76

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Solution

The fourth proportional to 113.60, 169.42 and 101.76 is: 151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.60 : 169.42 = 101.76 : x
  2. Step 2: Convert to fraction form
    113.60/169.42 = 101.76/x
  3. Step 3: Cross multiply
    113.60x = 169.42 × 101.76
  4. Step 4: Simplify right side
    113.60x = 17,239.19
  5. Step 5: Solve for x
    x = 17,239.19/113.60
  6. Step 6: Final answer
    x = 151.75

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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.