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Finding the Fourth Proportional to 162.59, 243.84 and 75.92

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Solution

The fourth proportional to 162.59, 243.84 and 75.92 is: 113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.59 : 243.84 = 75.92 : x
  2. Step 2: Convert to fraction form
    162.59/243.84 = 75.92/x
  3. Step 3: Cross multiply
    162.59x = 243.84 × 75.92
  4. Step 4: Simplify right side
    162.59x = 18,511.11
  5. Step 5: Solve for x
    x = 18,511.11/162.59
  6. Step 6: Final answer
    x = 113.85

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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.