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Finding the Fourth Proportional to 82.72, 114.02 and 71.64

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Solution

The fourth proportional to 82.72, 114.02 and 71.64 is: 98.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.72 : 114.02 = 71.64 : x
  2. Step 2: Convert to fraction form
    82.72/114.02 = 71.64/x
  3. Step 3: Cross multiply
    82.72x = 114.02 × 71.64
  4. Step 4: Simplify right side
    82.72x = 8,167.78
  5. Step 5: Solve for x
    x = 8,167.78/82.72
  6. Step 6: Final answer
    x = 98.74

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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.