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Finding the Fourth Proportional to 84.55, 126.60 and 69.16

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Solution

The fourth proportional to 84.55, 126.60 and 69.16 is: 103.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.55 : 126.60 = 69.16 : x
  2. Step 2: Convert to fraction form
    84.55/126.60 = 69.16/x
  3. Step 3: Cross multiply
    84.55x = 126.60 × 69.16
  4. Step 4: Simplify right side
    84.55x = 8,755.66
  5. Step 5: Solve for x
    x = 8,755.66/84.55
  6. Step 6: Final answer
    x = 103.56

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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.