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Finding the Fourth Proportional to 242.56, 363.78 and 71.56

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Solution

The fourth proportional to 242.56, 363.78 and 71.56 is: 107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.56 : 363.78 = 71.56 : x
  2. Step 2: Convert to fraction form
    242.56/363.78 = 71.56/x
  3. Step 3: Cross multiply
    242.56x = 363.78 × 71.56
  4. Step 4: Simplify right side
    242.56x = 26,032.10
  5. Step 5: Solve for x
    x = 26,032.10/242.56
  6. Step 6: Final answer
    x = 107.32

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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.