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Finding the Fourth Proportional to 106.29, 159.19 and 75.42

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Solution

The fourth proportional to 106.29, 159.19 and 75.42 is: 112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.29 : 159.19 = 75.42 : x
  2. Step 2: Convert to fraction form
    106.29/159.19 = 75.42/x
  3. Step 3: Cross multiply
    106.29x = 159.19 × 75.42
  4. Step 4: Simplify right side
    106.29x = 12,006.11
  5. Step 5: Solve for x
    x = 12,006.11/106.29
  6. Step 6: Final answer
    x = 112.96

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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.