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Finding the Fourth Proportional to 109.55, 163.55 and 95.92

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Solution

The fourth proportional to 109.55, 163.55 and 95.92 is: 143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.55 : 163.55 = 95.92 : x
  2. Step 2: Convert to fraction form
    109.55/163.55 = 95.92/x
  3. Step 3: Cross multiply
    109.55x = 163.55 × 95.92
  4. Step 4: Simplify right side
    109.55x = 15,687.55
  5. Step 5: Solve for x
    x = 15,687.55/109.55
  6. Step 6: Final answer
    x = 143.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.