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Finding the Fourth Proportional to 113.78, 170.58 and 45.24

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Solution

The fourth proportional to 113.78, 170.58 and 45.24 is: 67.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.78 : 170.58 = 45.24 : x
  2. Step 2: Convert to fraction form
    113.78/170.58 = 45.24/x
  3. Step 3: Cross multiply
    113.78x = 170.58 × 45.24
  4. Step 4: Simplify right side
    113.78x = 7,717.04
  5. Step 5: Solve for x
    x = 7,717.04/113.78
  6. Step 6: Final answer
    x = 67.82

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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.