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Finding the Fourth Proportional to 84.38, 126.01 and 70.75

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Solution

The fourth proportional to 84.38, 126.01 and 70.75 is: 105.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.38 : 126.01 = 70.75 : x
  2. Step 2: Convert to fraction form
    84.38/126.01 = 70.75/x
  3. Step 3: Cross multiply
    84.38x = 126.01 × 70.75
  4. Step 4: Simplify right side
    84.38x = 8,915.21
  5. Step 5: Solve for x
    x = 8,915.21/84.38
  6. Step 6: Final answer
    x = 105.66

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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.