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Finding the Fourth Proportional to 109.16, 162.88 and 96.98

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Solution

The fourth proportional to 109.16, 162.88 and 96.98 is: 144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.16 : 162.88 = 96.98 : x
  2. Step 2: Convert to fraction form
    109.16/162.88 = 96.98/x
  3. Step 3: Cross multiply
    109.16x = 162.88 × 96.98
  4. Step 4: Simplify right side
    109.16x = 15,796.10
  5. Step 5: Solve for x
    x = 15,796.10/109.16
  6. Step 6: Final answer
    x = 144.71

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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.