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Finding the Fourth Proportional to 113.72, 170.22 and 83.15

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Solution

The fourth proportional to 113.72, 170.22 and 83.15 is: 124.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.72 : 170.22 = 83.15 : x
  2. Step 2: Convert to fraction form
    113.72/170.22 = 83.15/x
  3. Step 3: Cross multiply
    113.72x = 170.22 × 83.15
  4. Step 4: Simplify right side
    113.72x = 14,152.94
  5. Step 5: Solve for x
    x = 14,152.94/113.72
  6. Step 6: Final answer
    x = 124.45

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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.