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Finding the Fourth Proportional to 147.87, 221.86 and 96.61

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Solution

The fourth proportional to 147.87, 221.86 and 96.61 is: 144.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.87 : 221.86 = 96.61 : x
  2. Step 2: Convert to fraction form
    147.87/221.86 = 96.61/x
  3. Step 3: Cross multiply
    147.87x = 221.86 × 96.61
  4. Step 4: Simplify right side
    147.87x = 21,433.89
  5. Step 5: Solve for x
    x = 21,433.89/147.87
  6. Step 6: Final answer
    x = 144.95

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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.