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Finding the Fourth Proportional to 110.66, 152.42 and 106.92

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Solution

The fourth proportional to 110.66, 152.42 and 106.92 is: 147.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.66 : 152.42 = 106.92 : x
  2. Step 2: Convert to fraction form
    110.66/152.42 = 106.92/x
  3. Step 3: Cross multiply
    110.66x = 152.42 × 106.92
  4. Step 4: Simplify right side
    110.66x = 16,296.21
  5. Step 5: Solve for x
    x = 16,296.21/110.66
  6. Step 6: Final answer
    x = 147.27

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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.