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Finding the Fourth Proportional to 55.27, 82.90 and 32.49

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Solution

The fourth proportional to 55.27, 82.90 and 32.49 is: 48.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.27 : 82.90 = 32.49 : x
  2. Step 2: Convert to fraction form
    55.27/82.90 = 32.49/x
  3. Step 3: Cross multiply
    55.27x = 82.90 × 32.49
  4. Step 4: Simplify right side
    55.27x = 2,693.60
  5. Step 5: Solve for x
    x = 2,693.60/55.27
  6. Step 6: Final answer
    x = 48.73

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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.