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Finding the Fourth Proportional to 82.12, 113.32 and 45.27

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Solution

The fourth proportional to 82.12, 113.32 and 45.27 is: 62.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.12 : 113.32 = 45.27 : x
  2. Step 2: Convert to fraction form
    82.12/113.32 = 45.27/x
  3. Step 3: Cross multiply
    82.12x = 113.32 × 45.27
  4. Step 4: Simplify right side
    82.12x = 5,130.17
  5. Step 5: Solve for x
    x = 5,130.17/82.12
  6. Step 6: Final answer
    x = 62.48

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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.