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Finding the Fourth Proportional to 162.54, 243.86 and 75.90

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Solution

The fourth proportional to 162.54, 243.86 and 75.90 is: 113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.54 : 243.86 = 75.90 : x
  2. Step 2: Convert to fraction form
    162.54/243.86 = 75.90/x
  3. Step 3: Cross multiply
    162.54x = 243.86 × 75.90
  4. Step 4: Simplify right side
    162.54x = 18,508.59
  5. Step 5: Solve for x
    x = 18,508.59/162.54
  6. Step 6: Final answer
    x = 113.87

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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.