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Finding the Fourth Proportional to 147.44, 221.09 and 66.23

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Solution

The fourth proportional to 147.44, 221.09 and 66.23 is: 99.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.44 : 221.09 = 66.23 : x
  2. Step 2: Convert to fraction form
    147.44/221.09 = 66.23/x
  3. Step 3: Cross multiply
    147.44x = 221.09 × 66.23
  4. Step 4: Simplify right side
    147.44x = 14,641.69
  5. Step 5: Solve for x
    x = 14,641.69/147.44
  6. Step 6: Final answer
    x = 99.31

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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.