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Finding the Fourth Proportional to 39.03, 58.97 and 37.82

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Solution

The fourth proportional to 39.03, 58.97 and 37.82 is: 57.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.03 : 58.97 = 37.82 : x
  2. Step 2: Convert to fraction form
    39.03/58.97 = 37.82/x
  3. Step 3: Cross multiply
    39.03x = 58.97 × 37.82
  4. Step 4: Simplify right side
    39.03x = 2,229.76
  5. Step 5: Solve for x
    x = 2,229.76/39.03
  6. Step 6: Final answer
    x = 57.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.