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Finding the Fourth Proportional to 75.46, 113.14 and 34.32

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Solution

The fourth proportional to 75.46, 113.14 and 34.32 is: 51.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.46 : 113.14 = 34.32 : x
  2. Step 2: Convert to fraction form
    75.46/113.14 = 34.32/x
  3. Step 3: Cross multiply
    75.46x = 113.14 × 34.32
  4. Step 4: Simplify right side
    75.46x = 3,882.96
  5. Step 5: Solve for x
    x = 3,882.96/75.46
  6. Step 6: Final answer
    x = 51.46

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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.