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Finding the Fourth Proportional to 39.52, 54.56 and 32.30

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Solution

The fourth proportional to 39.52, 54.56 and 32.30 is: 44.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.52 : 54.56 = 32.30 : x
  2. Step 2: Convert to fraction form
    39.52/54.56 = 32.30/x
  3. Step 3: Cross multiply
    39.52x = 54.56 × 32.30
  4. Step 4: Simplify right side
    39.52x = 1,762.29
  5. Step 5: Solve for x
    x = 1,762.29/39.52
  6. Step 6: Final answer
    x = 44.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.