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Finding the Fourth Proportional to 113.62, 169.48 and 106.06

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Solution

The fourth proportional to 113.62, 169.48 and 106.06 is: 158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.62 : 169.48 = 106.06 : x
  2. Step 2: Convert to fraction form
    113.62/169.48 = 106.06/x
  3. Step 3: Cross multiply
    113.62x = 169.48 × 106.06
  4. Step 4: Simplify right side
    113.62x = 17,974.52
  5. Step 5: Solve for x
    x = 17,974.52/113.62
  6. Step 6: Final answer
    x = 158.20

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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.