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Finding the Fourth Proportional to 113.18, 155.96 and 107.05

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Solution

The fourth proportional to 113.18, 155.96 and 107.05 is: 147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.18 : 155.96 = 107.05 : x
  2. Step 2: Convert to fraction form
    113.18/155.96 = 107.05/x
  3. Step 3: Cross multiply
    113.18x = 155.96 × 107.05
  4. Step 4: Simplify right side
    113.18x = 16,695.61
  5. Step 5: Solve for x
    x = 16,695.61/113.18
  6. Step 6: Final answer
    x = 147.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.