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Finding the Fourth Proportional to 82.12, 113.32 and 60.30

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Solution

The fourth proportional to 82.12, 113.32 and 60.30 is: 83.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.12 : 113.32 = 60.30 : x
  2. Step 2: Convert to fraction form
    82.12/113.32 = 60.30/x
  3. Step 3: Cross multiply
    82.12x = 113.32 × 60.30
  4. Step 4: Simplify right side
    82.12x = 6,833.20
  5. Step 5: Solve for x
    x = 6,833.20/82.12
  6. Step 6: Final answer
    x = 83.21

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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.