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Finding the Fourth Proportional to 55.29, 83.12 and 44.49

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Solution

The fourth proportional to 55.29, 83.12 and 44.49 is: 66.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.29 : 83.12 = 44.49 : x
  2. Step 2: Convert to fraction form
    55.29/83.12 = 44.49/x
  3. Step 3: Cross multiply
    55.29x = 83.12 × 44.49
  4. Step 4: Simplify right side
    55.29x = 3,697.79
  5. Step 5: Solve for x
    x = 3,697.79/55.29
  6. Step 6: Final answer
    x = 66.88

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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.