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Finding the Fourth Proportional to 44.23, 61.04 and 27.86

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Solution

The fourth proportional to 44.23, 61.04 and 27.86 is: 38.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.23 : 61.04 = 27.86 : x
  2. Step 2: Convert to fraction form
    44.23/61.04 = 27.86/x
  3. Step 3: Cross multiply
    44.23x = 61.04 × 27.86
  4. Step 4: Simplify right side
    44.23x = 1,700.57
  5. Step 5: Solve for x
    x = 1,700.57/44.23
  6. Step 6: Final answer
    x = 38.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.