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Finding the Fourth Proportional to 126.55, 174.68 and 82.89

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Solution

The fourth proportional to 126.55, 174.68 and 82.89 is: 114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.55 : 174.68 = 82.89 : x
  2. Step 2: Convert to fraction form
    126.55/174.68 = 82.89/x
  3. Step 3: Cross multiply
    126.55x = 174.68 × 82.89
  4. Step 4: Simplify right side
    126.55x = 14,479.23
  5. Step 5: Solve for x
    x = 14,479.23/126.55
  6. Step 6: Final answer
    x = 114.42

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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.