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Finding the Fourth Proportional to 44.19, 66.32 and 29.75

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Solution

The fourth proportional to 44.19, 66.32 and 29.75 is: 44.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.19 : 66.32 = 29.75 : x
  2. Step 2: Convert to fraction form
    44.19/66.32 = 29.75/x
  3. Step 3: Cross multiply
    44.19x = 66.32 × 29.75
  4. Step 4: Simplify right side
    44.19x = 1,972.54
  5. Step 5: Solve for x
    x = 1,972.54/44.19
  6. Step 6: Final answer
    x = 44.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.