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Finding the Fourth Proportional to 67.16, 101.24 and 57.08

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Solution

The fourth proportional to 67.16, 101.24 and 57.08 is: 86.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.16 : 101.24 = 57.08 : x
  2. Step 2: Convert to fraction form
    67.16/101.24 = 57.08/x
  3. Step 3: Cross multiply
    67.16x = 101.24 × 57.08
  4. Step 4: Simplify right side
    67.16x = 5,778.78
  5. Step 5: Solve for x
    x = 5,778.78/67.16
  6. Step 6: Final answer
    x = 86.04

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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.