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Finding the Fourth Proportional to 113.12, 169.68 and 44.64

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Solution

The fourth proportional to 113.12, 169.68 and 44.64 is: 66.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.12 : 169.68 = 44.64 : x
  2. Step 2: Convert to fraction form
    113.12/169.68 = 44.64/x
  3. Step 3: Cross multiply
    113.12x = 169.68 × 44.64
  4. Step 4: Simplify right side
    113.12x = 7,574.52
  5. Step 5: Solve for x
    x = 7,574.52/113.12
  6. Step 6: Final answer
    x = 66.96

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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.