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Finding the Fourth Proportional to 162.55, 243.86 and 54.34

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Solution

The fourth proportional to 162.55, 243.86 and 54.34 is: 81.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.55 : 243.86 = 54.34 : x
  2. Step 2: Convert to fraction form
    162.55/243.86 = 54.34/x
  3. Step 3: Cross multiply
    162.55x = 243.86 × 54.34
  4. Step 4: Simplify right side
    162.55x = 13,250.47
  5. Step 5: Solve for x
    x = 13,250.47/162.55
  6. Step 6: Final answer
    x = 81.52

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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.