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Finding the Fourth Proportional to 109.07, 149.70 and 96.58

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Solution

The fourth proportional to 109.07, 149.70 and 96.58 is: 132.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.07 : 149.70 = 96.58 : x
  2. Step 2: Convert to fraction form
    109.07/149.70 = 96.58/x
  3. Step 3: Cross multiply
    109.07x = 149.70 × 96.58
  4. Step 4: Simplify right side
    109.07x = 14,458.03
  5. Step 5: Solve for x
    x = 14,458.03/109.07
  6. Step 6: Final answer
    x = 132.56

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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.