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Finding the Fourth Proportional to 162.63, 243.97 and 77.13

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Solution

The fourth proportional to 162.63, 243.97 and 77.13 is: 115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.63 : 243.97 = 77.13 : x
  2. Step 2: Convert to fraction form
    162.63/243.97 = 77.13/x
  3. Step 3: Cross multiply
    162.63x = 243.97 × 77.13
  4. Step 4: Simplify right side
    162.63x = 18,815.99
  5. Step 5: Solve for x
    x = 18,815.99/162.63
  6. Step 6: Final answer
    x = 115.70

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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.