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Finding the Fourth Proportional to 69.02, 95.26 and 39.92

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Solution

The fourth proportional to 69.02, 95.26 and 39.92 is: 55.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.02 : 95.26 = 39.92 : x
  2. Step 2: Convert to fraction form
    69.02/95.26 = 39.92/x
  3. Step 3: Cross multiply
    69.02x = 95.26 × 39.92
  4. Step 4: Simplify right side
    69.02x = 3,802.78
  5. Step 5: Solve for x
    x = 3,802.78/69.02
  6. Step 6: Final answer
    x = 55.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.