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Finding the Fourth Proportional to 154.13, 232.09 and 113.84

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Solution

The fourth proportional to 154.13, 232.09 and 113.84 is: 171.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.13 : 232.09 = 113.84 : x
  2. Step 2: Convert to fraction form
    154.13/232.09 = 113.84/x
  3. Step 3: Cross multiply
    154.13x = 232.09 × 113.84
  4. Step 4: Simplify right side
    154.13x = 26,419.97
  5. Step 5: Solve for x
    x = 26,419.97/154.13
  6. Step 6: Final answer
    x = 171.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.