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Finding the Fourth Proportional to 82.57, 112.42 and 82.32

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Solution

The fourth proportional to 82.57, 112.42 and 82.32 is: 112.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.57 : 112.42 = 82.32 : x
  2. Step 2: Convert to fraction form
    82.57/112.42 = 82.32/x
  3. Step 3: Cross multiply
    82.57x = 112.42 × 82.32
  4. Step 4: Simplify right side
    82.57x = 9,254.06
  5. Step 5: Solve for x
    x = 9,254.06/82.57
  6. Step 6: Final answer
    x = 112.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.