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Finding the Fourth Proportional to 162.56, 243.72 and 77

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Solution

The fourth proportional to 162.56, 243.72 and 77 is: 115.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.56 : 243.72 = 77 : x
  2. Step 2: Convert to fraction form
    162.56/243.72 = 77/x
  3. Step 3: Cross multiply
    162.56x = 243.72 × 77
  4. Step 4: Simplify right side
    162.56x = 18,766.44
  5. Step 5: Solve for x
    x = 18,766.44/162.56
  6. Step 6: Final answer
    x = 115.44

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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.