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Finding the Fourth Proportional to 42.06, 57.96 and 34.14

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Solution

The fourth proportional to 42.06, 57.96 and 34.14 is: 47.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.06 : 57.96 = 34.14 : x
  2. Step 2: Convert to fraction form
    42.06/57.96 = 34.14/x
  3. Step 3: Cross multiply
    42.06x = 57.96 × 34.14
  4. Step 4: Simplify right side
    42.06x = 1,978.75
  5. Step 5: Solve for x
    x = 1,978.75/42.06
  6. Step 6: Final answer
    x = 47.05

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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.