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Finding the Fourth Proportional to 82.96, 124.46 and 25.18

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Solution

The fourth proportional to 82.96, 124.46 and 25.18 is: 37.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.96 : 124.46 = 25.18 : x
  2. Step 2: Convert to fraction form
    82.96/124.46 = 25.18/x
  3. Step 3: Cross multiply
    82.96x = 124.46 × 25.18
  4. Step 4: Simplify right side
    82.96x = 3,133.89
  5. Step 5: Solve for x
    x = 3,133.89/82.96
  6. Step 6: Final answer
    x = 37.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.