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Finding the Fourth Proportional to 242.15, 363.22 and 71.15

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Solution

The fourth proportional to 242.15, 363.22 and 71.15 is: 106.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.15 : 363.22 = 71.15 : x
  2. Step 2: Convert to fraction form
    242.15/363.22 = 71.15/x
  3. Step 3: Cross multiply
    242.15x = 363.22 × 71.15
  4. Step 4: Simplify right side
    242.15x = 25,841.11
  5. Step 5: Solve for x
    x = 25,841.11/242.15
  6. Step 6: Final answer
    x = 106.72

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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.