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Finding the Fourth Proportional to 162.40, 243.64 and 81.24

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Solution

The fourth proportional to 162.40, 243.64 and 81.24 is: 121.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.40 : 243.64 = 81.24 : x
  2. Step 2: Convert to fraction form
    162.40/243.64 = 81.24/x
  3. Step 3: Cross multiply
    162.40x = 243.64 × 81.24
  4. Step 4: Simplify right side
    162.40x = 19,793.31
  5. Step 5: Solve for x
    x = 19,793.31/162.40
  6. Step 6: Final answer
    x = 121.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.