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Finding the Fourth Proportional to 69.88, 104.36 and 53.80

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Solution

The fourth proportional to 69.88, 104.36 and 53.80 is: 80.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.88 : 104.36 = 53.80 : x
  2. Step 2: Convert to fraction form
    69.88/104.36 = 53.80/x
  3. Step 3: Cross multiply
    69.88x = 104.36 × 53.80
  4. Step 4: Simplify right side
    69.88x = 5,614.57
  5. Step 5: Solve for x
    x = 5,614.57/69.88
  6. Step 6: Final answer
    x = 80.35

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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.