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Finding the Fourth Proportional to 113.06, 169.45 and 63.69

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Solution

The fourth proportional to 113.06, 169.45 and 63.69 is: 95.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.06 : 169.45 = 63.69 : x
  2. Step 2: Convert to fraction form
    113.06/169.45 = 63.69/x
  3. Step 3: Cross multiply
    113.06x = 169.45 × 63.69
  4. Step 4: Simplify right side
    113.06x = 10,792.11
  5. Step 5: Solve for x
    x = 10,792.11/113.06
  6. Step 6: Final answer
    x = 95.46

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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.