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Finding the Fourth Proportional to 121.02, 166.57 and 96.40

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Solution

The fourth proportional to 121.02, 166.57 and 96.40 is: 132.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.02 : 166.57 = 96.40 : x
  2. Step 2: Convert to fraction form
    121.02/166.57 = 96.40/x
  3. Step 3: Cross multiply
    121.02x = 166.57 × 96.40
  4. Step 4: Simplify right side
    121.02x = 16,057.35
  5. Step 5: Solve for x
    x = 16,057.35/121.02
  6. Step 6: Final answer
    x = 132.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.