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Finding the Fourth Proportional to 110.30, 152.12 and 85.72

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Solution

The fourth proportional to 110.30, 152.12 and 85.72 is: 118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.30 : 152.12 = 85.72 : x
  2. Step 2: Convert to fraction form
    110.30/152.12 = 85.72/x
  3. Step 3: Cross multiply
    110.30x = 152.12 × 85.72
  4. Step 4: Simplify right side
    110.30x = 13,039.73
  5. Step 5: Solve for x
    x = 13,039.73/110.30
  6. Step 6: Final answer
    x = 118.22

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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.