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Finding the Fourth Proportional to 242.03, 363.01 and 79.72

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Solution

The fourth proportional to 242.03, 363.01 and 79.72 is: 119.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.03 : 363.01 = 79.72 : x
  2. Step 2: Convert to fraction form
    242.03/363.01 = 79.72/x
  3. Step 3: Cross multiply
    242.03x = 363.01 × 79.72
  4. Step 4: Simplify right side
    242.03x = 28,937.14
  5. Step 5: Solve for x
    x = 28,937.14/242.03
  6. Step 6: Final answer
    x = 119.56

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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.