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Finding the Fourth Proportional to 113.67, 170.64 and 111.78

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Solution

The fourth proportional to 113.67, 170.64 and 111.78 is: 167.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.67 : 170.64 = 111.78 : x
  2. Step 2: Convert to fraction form
    113.67/170.64 = 111.78/x
  3. Step 3: Cross multiply
    113.67x = 170.64 × 111.78
  4. Step 4: Simplify right side
    113.67x = 19,074.14
  5. Step 5: Solve for x
    x = 19,074.14/113.67
  6. Step 6: Final answer
    x = 167.80

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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.