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Finding the Fourth Proportional to 79.99, 119.95 and 25.13

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Solution

The fourth proportional to 79.99, 119.95 and 25.13 is: 37.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.99 : 119.95 = 25.13 : x
  2. Step 2: Convert to fraction form
    79.99/119.95 = 25.13/x
  3. Step 3: Cross multiply
    79.99x = 119.95 × 25.13
  4. Step 4: Simplify right side
    79.99x = 3,014.34
  5. Step 5: Solve for x
    x = 3,014.34/79.99
  6. Step 6: Final answer
    x = 37.68

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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.