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Finding the Fourth Proportional to 111.13, 153.42 and 71.80

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Solution

The fourth proportional to 111.13, 153.42 and 71.80 is: 99.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.13 : 153.42 = 71.80 : x
  2. Step 2: Convert to fraction form
    111.13/153.42 = 71.80/x
  3. Step 3: Cross multiply
    111.13x = 153.42 × 71.80
  4. Step 4: Simplify right side
    111.13x = 11,015.56
  5. Step 5: Solve for x
    x = 11,015.56/111.13
  6. Step 6: Final answer
    x = 99.13

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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.