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Finding the Fourth Proportional to 84.53, 126.27 and 84.12

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Solution

The fourth proportional to 84.53, 126.27 and 84.12 is: 125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.53 : 126.27 = 84.12 : x
  2. Step 2: Convert to fraction form
    84.53/126.27 = 84.12/x
  3. Step 3: Cross multiply
    84.53x = 126.27 × 84.12
  4. Step 4: Simplify right side
    84.53x = 10,621.83
  5. Step 5: Solve for x
    x = 10,621.83/84.53
  6. Step 6: Final answer
    x = 125.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.