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Finding the Fourth Proportional to 44.33, 66.42 and 29.84

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Solution

The fourth proportional to 44.33, 66.42 and 29.84 is: 44.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.33 : 66.42 = 29.84 : x
  2. Step 2: Convert to fraction form
    44.33/66.42 = 29.84/x
  3. Step 3: Cross multiply
    44.33x = 66.42 × 29.84
  4. Step 4: Simplify right side
    44.33x = 1,981.64
  5. Step 5: Solve for x
    x = 1,981.64/44.33
  6. Step 6: Final answer
    x = 44.71

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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.