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Finding the Fourth Proportional to 110.12, 151.89 and 89.60

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Solution

The fourth proportional to 110.12, 151.89 and 89.60 is: 123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.12 : 151.89 = 89.60 : x
  2. Step 2: Convert to fraction form
    110.12/151.89 = 89.60/x
  3. Step 3: Cross multiply
    110.12x = 151.89 × 89.60
  4. Step 4: Simplify right side
    110.12x = 13,609.34
  5. Step 5: Solve for x
    x = 13,609.34/110.12
  6. Step 6: Final answer
    x = 123.59

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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.