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Finding the Fourth Proportional to 162.24, 243.09 and 101.22

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Solution

The fourth proportional to 162.24, 243.09 and 101.22 is: 151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.24 : 243.09 = 101.22 : x
  2. Step 2: Convert to fraction form
    162.24/243.09 = 101.22/x
  3. Step 3: Cross multiply
    162.24x = 243.09 × 101.22
  4. Step 4: Simplify right side
    162.24x = 24,605.57
  5. Step 5: Solve for x
    x = 24,605.57/162.24
  6. Step 6: Final answer
    x = 151.66

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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.