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Finding the Fourth Proportional to 42.21, 58.17 and 34.47

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Solution

The fourth proportional to 42.21, 58.17 and 34.47 is: 47.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.21 : 58.17 = 34.47 : x
  2. Step 2: Convert to fraction form
    42.21/58.17 = 34.47/x
  3. Step 3: Cross multiply
    42.21x = 58.17 × 34.47
  4. Step 4: Simplify right side
    42.21x = 2,005.12
  5. Step 5: Solve for x
    x = 2,005.12/42.21
  6. Step 6: Final answer
    x = 47.50

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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.