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Finding the Fourth Proportional to 162.05, 242.92 and 53.78

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Solution

The fourth proportional to 162.05, 242.92 and 53.78 is: 80.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.05 : 242.92 = 53.78 : x
  2. Step 2: Convert to fraction form
    162.05/242.92 = 53.78/x
  3. Step 3: Cross multiply
    162.05x = 242.92 × 53.78
  4. Step 4: Simplify right side
    162.05x = 13,062.89
  5. Step 5: Solve for x
    x = 13,062.89/162.05
  6. Step 6: Final answer
    x = 80.61

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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.