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Finding the Fourth Proportional to 39.66, 54.74 and 32.42

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Solution

The fourth proportional to 39.66, 54.74 and 32.42 is: 44.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.66 : 54.74 = 32.42 : x
  2. Step 2: Convert to fraction form
    39.66/54.74 = 32.42/x
  3. Step 3: Cross multiply
    39.66x = 54.74 × 32.42
  4. Step 4: Simplify right side
    39.66x = 1,774.67
  5. Step 5: Solve for x
    x = 1,774.67/39.66
  6. Step 6: Final answer
    x = 44.75

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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.