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Finding the Fourth Proportional to 147.83, 221.75 and 113.81

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Solution

The fourth proportional to 147.83, 221.75 and 113.81 is: 170.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.83 : 221.75 = 113.81 : x
  2. Step 2: Convert to fraction form
    147.83/221.75 = 113.81/x
  3. Step 3: Cross multiply
    147.83x = 221.75 × 113.81
  4. Step 4: Simplify right side
    147.83x = 25,236.80
  5. Step 5: Solve for x
    x = 25,236.80/147.83
  6. Step 6: Final answer
    x = 170.72

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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.