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Finding the Fourth Proportional to 162.70, 243.98 and 54.46

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Solution

The fourth proportional to 162.70, 243.98 and 54.46 is: 81.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.70 : 243.98 = 54.46 : x
  2. Step 2: Convert to fraction form
    162.70/243.98 = 54.46/x
  3. Step 3: Cross multiply
    162.70x = 243.98 × 54.46
  4. Step 4: Simplify right side
    162.70x = 13,285.93
  5. Step 5: Solve for x
    x = 13,285.93/162.70
  6. Step 6: Final answer
    x = 81.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.