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Finding the Fourth Proportional to 109.17, 162.97 and 95.50

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Solution

The fourth proportional to 109.17, 162.97 and 95.50 is: 142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.17 : 162.97 = 95.50 : x
  2. Step 2: Convert to fraction form
    109.17/162.97 = 95.50/x
  3. Step 3: Cross multiply
    109.17x = 162.97 × 95.50
  4. Step 4: Simplify right side
    109.17x = 15,563.64
  5. Step 5: Solve for x
    x = 15,563.64/109.17
  6. Step 6: Final answer
    x = 142.56

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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.