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Finding the Fourth Proportional to 111.54, 167.57 and 102.32

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Solution

The fourth proportional to 111.54, 167.57 and 102.32 is: 153.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.54 : 167.57 = 102.32 : x
  2. Step 2: Convert to fraction form
    111.54/167.57 = 102.32/x
  3. Step 3: Cross multiply
    111.54x = 167.57 × 102.32
  4. Step 4: Simplify right side
    111.54x = 17,144.41
  5. Step 5: Solve for x
    x = 17,144.41/111.54
  6. Step 6: Final answer
    x = 153.71

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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.