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Finding the Fourth Proportional to 162.67, 244.06 and 54.47

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Solution

The fourth proportional to 162.67, 244.06 and 54.47 is: 81.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.67 : 244.06 = 54.47 : x
  2. Step 2: Convert to fraction form
    162.67/244.06 = 54.47/x
  3. Step 3: Cross multiply
    162.67x = 244.06 × 54.47
  4. Step 4: Simplify right side
    162.67x = 13,293.95
  5. Step 5: Solve for x
    x = 13,293.95/162.67
  6. Step 6: Final answer
    x = 81.72

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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.