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Finding the Fourth Proportional to 84.46, 126.75 and 54.06

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Solution

The fourth proportional to 84.46, 126.75 and 54.06 is: 81.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.46 : 126.75 = 54.06 : x
  2. Step 2: Convert to fraction form
    84.46/126.75 = 54.06/x
  3. Step 3: Cross multiply
    84.46x = 126.75 × 54.06
  4. Step 4: Simplify right side
    84.46x = 6,852.11
  5. Step 5: Solve for x
    x = 6,852.11/84.46
  6. Step 6: Final answer
    x = 81.13

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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.