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Finding the Fourth Proportional to 113.38, 169.03 and 106.49

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Solution

The fourth proportional to 113.38, 169.03 and 106.49 is: 158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.38 : 169.03 = 106.49 : x
  2. Step 2: Convert to fraction form
    113.38/169.03 = 106.49/x
  3. Step 3: Cross multiply
    113.38x = 169.03 × 106.49
  4. Step 4: Simplify right side
    113.38x = 18,000.00
  5. Step 5: Solve for x
    x = 18,000.00/113.38
  6. Step 6: Final answer
    x = 158.77

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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.