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Finding the Fourth Proportional to 162.02, 243.39 and 93.71

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Solution

The fourth proportional to 162.02, 243.39 and 93.71 is: 140.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.02 : 243.39 = 93.71 : x
  2. Step 2: Convert to fraction form
    162.02/243.39 = 93.71/x
  3. Step 3: Cross multiply
    162.02x = 243.39 × 93.71
  4. Step 4: Simplify right side
    162.02x = 22,806.86
  5. Step 5: Solve for x
    x = 22,806.86/162.02
  6. Step 6: Final answer
    x = 140.77

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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.