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Finding the Fourth Proportional to 75.40, 113.06 and 52.56

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Solution

The fourth proportional to 75.40, 113.06 and 52.56 is: 78.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.40 : 113.06 = 52.56 : x
  2. Step 2: Convert to fraction form
    75.40/113.06 = 52.56/x
  3. Step 3: Cross multiply
    75.40x = 113.06 × 52.56
  4. Step 4: Simplify right side
    75.40x = 5,942.43
  5. Step 5: Solve for x
    x = 5,942.43/75.40
  6. Step 6: Final answer
    x = 78.81

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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.