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Finding the Fourth Proportional to 105.52, 158.24 and 71.28

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Solution

The fourth proportional to 105.52, 158.24 and 71.28 is: 106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.52 : 158.24 = 71.28 : x
  2. Step 2: Convert to fraction form
    105.52/158.24 = 71.28/x
  3. Step 3: Cross multiply
    105.52x = 158.24 × 71.28
  4. Step 4: Simplify right side
    105.52x = 11,279.35
  5. Step 5: Solve for x
    x = 11,279.35/105.52
  6. Step 6: Final answer
    x = 106.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.