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Finding the Fourth Proportional to 113.10, 169.74 and 104.22

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Solution

The fourth proportional to 113.10, 169.74 and 104.22 is: 156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.10 : 169.74 = 104.22 : x
  2. Step 2: Convert to fraction form
    113.10/169.74 = 104.22/x
  3. Step 3: Cross multiply
    113.10x = 169.74 × 104.22
  4. Step 4: Simplify right side
    113.10x = 17,690.30
  5. Step 5: Solve for x
    x = 17,690.30/113.10
  6. Step 6: Final answer
    x = 156.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.