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Finding the Fourth Proportional to 113.08, 169.40 and 106.42

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Solution

The fourth proportional to 113.08, 169.40 and 106.42 is: 159.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.08 : 169.40 = 106.42 : x
  2. Step 2: Convert to fraction form
    113.08/169.40 = 106.42/x
  3. Step 3: Cross multiply
    113.08x = 169.40 × 106.42
  4. Step 4: Simplify right side
    113.08x = 18,027.02
  5. Step 5: Solve for x
    x = 18,027.02/113.08
  6. Step 6: Final answer
    x = 159.42

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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.