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Finding the Fourth Proportional to 109.14, 149.81 and 96.58

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Solution

The fourth proportional to 109.14, 149.81 and 96.58 is: 132.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.14 : 149.81 = 96.58 : x
  2. Step 2: Convert to fraction form
    109.14/149.81 = 96.58/x
  3. Step 3: Cross multiply
    109.14x = 149.81 × 96.58
  4. Step 4: Simplify right side
    109.14x = 14,468.65
  5. Step 5: Solve for x
    x = 14,468.65/109.14
  6. Step 6: Final answer
    x = 132.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.