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Finding the Fourth Proportional to 84.52, 127.51 and 80.02

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Solution

The fourth proportional to 84.52, 127.51 and 80.02 is: 120.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.52 : 127.51 = 80.02 : x
  2. Step 2: Convert to fraction form
    84.52/127.51 = 80.02/x
  3. Step 3: Cross multiply
    84.52x = 127.51 × 80.02
  4. Step 4: Simplify right side
    84.52x = 10,203.35
  5. Step 5: Solve for x
    x = 10,203.35/84.52
  6. Step 6: Final answer
    x = 120.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.