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Finding the Fourth Proportional to 162.38, 243.02 and 93.80

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Solution

The fourth proportional to 162.38, 243.02 and 93.80 is: 140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.38 : 243.02 = 93.80 : x
  2. Step 2: Convert to fraction form
    162.38/243.02 = 93.80/x
  3. Step 3: Cross multiply
    162.38x = 243.02 × 93.80
  4. Step 4: Simplify right side
    162.38x = 22,795.28
  5. Step 5: Solve for x
    x = 22,795.28/162.38
  6. Step 6: Final answer
    x = 140.38

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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.