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Finding the Fourth Proportional to 82.32, 112.93 and 80.07

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Solution

The fourth proportional to 82.32, 112.93 and 80.07 is: 109.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.32 : 112.93 = 80.07 : x
  2. Step 2: Convert to fraction form
    82.32/112.93 = 80.07/x
  3. Step 3: Cross multiply
    82.32x = 112.93 × 80.07
  4. Step 4: Simplify right side
    82.32x = 9,042.31
  5. Step 5: Solve for x
    x = 9,042.31/82.32
  6. Step 6: Final answer
    x = 109.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.