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Finding the Fourth Proportional to 113.59, 169.47 and 112.78

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Solution

The fourth proportional to 113.59, 169.47 and 112.78 is: 168.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.59 : 169.47 = 112.78 : x
  2. Step 2: Convert to fraction form
    113.59/169.47 = 112.78/x
  3. Step 3: Cross multiply
    113.59x = 169.47 × 112.78
  4. Step 4: Simplify right side
    113.59x = 19,112.83
  5. Step 5: Solve for x
    x = 19,112.83/113.59
  6. Step 6: Final answer
    x = 168.26

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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.