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Finding the Fourth Proportional to 42.81, 59.02 and 38.46

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Solution

The fourth proportional to 42.81, 59.02 and 38.46 is: 53.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.81 : 59.02 = 38.46 : x
  2. Step 2: Convert to fraction form
    42.81/59.02 = 38.46/x
  3. Step 3: Cross multiply
    42.81x = 59.02 × 38.46
  4. Step 4: Simplify right side
    42.81x = 2,269.91
  5. Step 5: Solve for x
    x = 2,269.91/42.81
  6. Step 6: Final answer
    x = 53.02

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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.