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Finding the Fourth Proportional to 71.99, 99.20 and 51.29

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Solution

The fourth proportional to 71.99, 99.20 and 51.29 is: 70.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.99 : 99.20 = 51.29 : x
  2. Step 2: Convert to fraction form
    71.99/99.20 = 51.29/x
  3. Step 3: Cross multiply
    71.99x = 99.20 × 51.29
  4. Step 4: Simplify right side
    71.99x = 5,087.97
  5. Step 5: Solve for x
    x = 5,087.97/71.99
  6. Step 6: Final answer
    x = 70.68

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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.