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Finding the Fourth Proportional to 71.19, 106.80 and 25.53

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Solution

The fourth proportional to 71.19, 106.80 and 25.53 is: 38.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.19 : 106.80 = 25.53 : x
  2. Step 2: Convert to fraction form
    71.19/106.80 = 25.53/x
  3. Step 3: Cross multiply
    71.19x = 106.80 × 25.53
  4. Step 4: Simplify right side
    71.19x = 2,726.48
  5. Step 5: Solve for x
    x = 2,726.48/71.19
  6. Step 6: Final answer
    x = 38.30

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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.