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Finding the Fourth Proportional to 113.11, 169.24 and 106.93

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Solution

The fourth proportional to 113.11, 169.24 and 106.93 is: 159.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.11 : 169.24 = 106.93 : x
  2. Step 2: Convert to fraction form
    113.11/169.24 = 106.93/x
  3. Step 3: Cross multiply
    113.11x = 169.24 × 106.93
  4. Step 4: Simplify right side
    113.11x = 18,096.83
  5. Step 5: Solve for x
    x = 18,096.83/113.11
  6. Step 6: Final answer
    x = 159.99

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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.