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Finding the Fourth Proportional to 91.51, 125.76 and 82.40

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Solution

The fourth proportional to 91.51, 125.76 and 82.40 is: 113.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.51 : 125.76 = 82.40 : x
  2. Step 2: Convert to fraction form
    91.51/125.76 = 82.40/x
  3. Step 3: Cross multiply
    91.51x = 125.76 × 82.40
  4. Step 4: Simplify right side
    91.51x = 10,361.58
  5. Step 5: Solve for x
    x = 10,361.58/91.51
  6. Step 6: Final answer
    x = 113.24

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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.