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Finding the Fourth Proportional to 42.38, 58.41 and 32.70

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Solution

The fourth proportional to 42.38, 58.41 and 32.70 is: 45.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.38 : 58.41 = 32.70 : x
  2. Step 2: Convert to fraction form
    42.38/58.41 = 32.70/x
  3. Step 3: Cross multiply
    42.38x = 58.41 × 32.70
  4. Step 4: Simplify right side
    42.38x = 1,910.01
  5. Step 5: Solve for x
    x = 1,910.01/42.38
  6. Step 6: Final answer
    x = 45.07

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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.