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Finding the Fourth Proportional to 39.59, 54.62 and 31.81

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Solution

The fourth proportional to 39.59, 54.62 and 31.81 is: 43.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.59 : 54.62 = 31.81 : x
  2. Step 2: Convert to fraction form
    39.59/54.62 = 31.81/x
  3. Step 3: Cross multiply
    39.59x = 54.62 × 31.81
  4. Step 4: Simplify right side
    39.59x = 1,737.17
  5. Step 5: Solve for x
    x = 1,737.17/39.59
  6. Step 6: Final answer
    x = 43.88

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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.