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Finding the Fourth Proportional to 42.91, 59.12 and 30.61

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Solution

The fourth proportional to 42.91, 59.12 and 30.61 is: 42.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.91 : 59.12 = 30.61 : x
  2. Step 2: Convert to fraction form
    42.91/59.12 = 30.61/x
  3. Step 3: Cross multiply
    42.91x = 59.12 × 30.61
  4. Step 4: Simplify right side
    42.91x = 1,809.44
  5. Step 5: Solve for x
    x = 1,809.44/42.91
  6. Step 6: Final answer
    x = 42.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.