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Finding the Fourth Proportional to 121.13, 166.46 and 96.53

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Solution

The fourth proportional to 121.13, 166.46 and 96.53 is: 132.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.13 : 166.46 = 96.53 : x
  2. Step 2: Convert to fraction form
    121.13/166.46 = 96.53/x
  3. Step 3: Cross multiply
    121.13x = 166.46 × 96.53
  4. Step 4: Simplify right side
    121.13x = 16,068.38
  5. Step 5: Solve for x
    x = 16,068.38/121.13
  6. Step 6: Final answer
    x = 132.65

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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.