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Finding the Fourth Proportional to 84.75, 126.59 and 69.36

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Solution

The fourth proportional to 84.75, 126.59 and 69.36 is: 103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.75 : 126.59 = 69.36 : x
  2. Step 2: Convert to fraction form
    84.75/126.59 = 69.36/x
  3. Step 3: Cross multiply
    84.75x = 126.59 × 69.36
  4. Step 4: Simplify right side
    84.75x = 8,780.41
  5. Step 5: Solve for x
    x = 8,780.41/84.75
  6. Step 6: Final answer
    x = 103.60

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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.