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Finding the Fourth Proportional to 162.68, 244.02 and 81.55

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Solution

The fourth proportional to 162.68, 244.02 and 81.55 is: 122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.68 : 244.02 = 81.55 : x
  2. Step 2: Convert to fraction form
    162.68/244.02 = 81.55/x
  3. Step 3: Cross multiply
    162.68x = 244.02 × 81.55
  4. Step 4: Simplify right side
    162.68x = 19,898.61
  5. Step 5: Solve for x
    x = 19,898.61/162.68
  6. Step 6: Final answer
    x = 122.32

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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.