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Finding the Fourth Proportional to 113.78, 170.63 and 45.27

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Solution

The fourth proportional to 113.78, 170.63 and 45.27 is: 67.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.78 : 170.63 = 45.27 : x
  2. Step 2: Convert to fraction form
    113.78/170.63 = 45.27/x
  3. Step 3: Cross multiply
    113.78x = 170.63 × 45.27
  4. Step 4: Simplify right side
    113.78x = 7,724.42
  5. Step 5: Solve for x
    x = 7,724.42/113.78
  6. Step 6: Final answer
    x = 67.89

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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.