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Finding the Fourth Proportional to 106.31, 159.45 and 29.27

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Solution

The fourth proportional to 106.31, 159.45 and 29.27 is: 43.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.31 : 159.45 = 29.27 : x
  2. Step 2: Convert to fraction form
    106.31/159.45 = 29.27/x
  3. Step 3: Cross multiply
    106.31x = 159.45 × 29.27
  4. Step 4: Simplify right side
    106.31x = 4,666.30
  5. Step 5: Solve for x
    x = 4,666.30/106.31
  6. Step 6: Final answer
    x = 43.90

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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.