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Finding the Fourth Proportional to 118.10, 162.90 and 96.23

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Solution

The fourth proportional to 118.10, 162.90 and 96.23 is: 132.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.10 : 162.90 = 96.23 : x
  2. Step 2: Convert to fraction form
    118.10/162.90 = 96.23/x
  3. Step 3: Cross multiply
    118.10x = 162.90 × 96.23
  4. Step 4: Simplify right side
    118.10x = 15,675.05
  5. Step 5: Solve for x
    x = 15,675.05/118.10
  6. Step 6: Final answer
    x = 132.73

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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.