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Finding the Fourth Proportional to 147.94, 221.84 and 61.26

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Solution

The fourth proportional to 147.94, 221.84 and 61.26 is: 91.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.94 : 221.84 = 61.26 : x
  2. Step 2: Convert to fraction form
    147.94/221.84 = 61.26/x
  3. Step 3: Cross multiply
    147.94x = 221.84 × 61.26
  4. Step 4: Simplify right side
    147.94x = 13,589.61
  5. Step 5: Solve for x
    x = 13,589.61/147.94
  6. Step 6: Final answer
    x = 91.86

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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.