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Finding the Fourth Proportional to 109.49, 163.53 and 95.85

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Solution

The fourth proportional to 109.49, 163.53 and 95.85 is: 143.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.49 : 163.53 = 95.85 : x
  2. Step 2: Convert to fraction form
    109.49/163.53 = 95.85/x
  3. Step 3: Cross multiply
    109.49x = 163.53 × 95.85
  4. Step 4: Simplify right side
    109.49x = 15,674.35
  5. Step 5: Solve for x
    x = 15,674.35/109.49
  6. Step 6: Final answer
    x = 143.16

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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.