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Finding the Fourth Proportional to 42.16, 58.05 and 41.30

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Solution

The fourth proportional to 42.16, 58.05 and 41.30 is: 56.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.16 : 58.05 = 41.30 : x
  2. Step 2: Convert to fraction form
    42.16/58.05 = 41.30/x
  3. Step 3: Cross multiply
    42.16x = 58.05 × 41.30
  4. Step 4: Simplify right side
    42.16x = 2,397.47
  5. Step 5: Solve for x
    x = 2,397.47/42.16
  6. Step 6: Final answer
    x = 56.87

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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.