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Finding the Fourth Proportional to 109.54, 150.89 and 104.55

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Solution

The fourth proportional to 109.54, 150.89 and 104.55 is: 144.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.54 : 150.89 = 104.55 : x
  2. Step 2: Convert to fraction form
    109.54/150.89 = 104.55/x
  3. Step 3: Cross multiply
    109.54x = 150.89 × 104.55
  4. Step 4: Simplify right side
    109.54x = 15,775.55
  5. Step 5: Solve for x
    x = 15,775.55/109.54
  6. Step 6: Final answer
    x = 144.02

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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.