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Finding the Fourth Proportional to 162.38, 243.54 and 54.24

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Solution

The fourth proportional to 162.38, 243.54 and 54.24 is: 81.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.38 : 243.54 = 54.24 : x
  2. Step 2: Convert to fraction form
    162.38/243.54 = 54.24/x
  3. Step 3: Cross multiply
    162.38x = 243.54 × 54.24
  4. Step 4: Simplify right side
    162.38x = 13,209.61
  5. Step 5: Solve for x
    x = 13,209.61/162.38
  6. Step 6: Final answer
    x = 81.35

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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.