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Finding the Fourth Proportional to 106.92, 147.57 and 63.27

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Solution

The fourth proportional to 106.92, 147.57 and 63.27 is: 87.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.92 : 147.57 = 63.27 : x
  2. Step 2: Convert to fraction form
    106.92/147.57 = 63.27/x
  3. Step 3: Cross multiply
    106.92x = 147.57 × 63.27
  4. Step 4: Simplify right side
    106.92x = 9,336.75
  5. Step 5: Solve for x
    x = 9,336.75/106.92
  6. Step 6: Final answer
    x = 87.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.