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Finding the Fourth Proportional to 43.38, 59.76 and 42.03

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Solution

The fourth proportional to 43.38, 59.76 and 42.03 is: 57.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.38 : 59.76 = 42.03 : x
  2. Step 2: Convert to fraction form
    43.38/59.76 = 42.03/x
  3. Step 3: Cross multiply
    43.38x = 59.76 × 42.03
  4. Step 4: Simplify right side
    43.38x = 2,511.71
  5. Step 5: Solve for x
    x = 2,511.71/43.38
  6. Step 6: Final answer
    x = 57.90

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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.