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Finding the Fourth Proportional to 162.39, 243.49 and 75.67

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Solution

The fourth proportional to 162.39, 243.49 and 75.67 is: 113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.39 : 243.49 = 75.67 : x
  2. Step 2: Convert to fraction form
    162.39/243.49 = 75.67/x
  3. Step 3: Cross multiply
    162.39x = 243.49 × 75.67
  4. Step 4: Simplify right side
    162.39x = 18,424.23
  5. Step 5: Solve for x
    x = 18,424.23/162.39
  6. Step 6: Final answer
    x = 113.46

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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.