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Finding the Fourth Proportional to 113.69, 170.25 and 75.06

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Solution

The fourth proportional to 113.69, 170.25 and 75.06 is: 112.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.69 : 170.25 = 75.06 : x
  2. Step 2: Convert to fraction form
    113.69/170.25 = 75.06/x
  3. Step 3: Cross multiply
    113.69x = 170.25 × 75.06
  4. Step 4: Simplify right side
    113.69x = 12,778.42
  5. Step 5: Solve for x
    x = 12,778.42/113.69
  6. Step 6: Final answer
    x = 112.39

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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.