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Finding the Fourth Proportional to 44.85, 61.91 and 31.04

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Solution

The fourth proportional to 44.85, 61.91 and 31.04 is: 42.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.85 : 61.91 = 31.04 : x
  2. Step 2: Convert to fraction form
    44.85/61.91 = 31.04/x
  3. Step 3: Cross multiply
    44.85x = 61.91 × 31.04
  4. Step 4: Simplify right side
    44.85x = 1,921.22
  5. Step 5: Solve for x
    x = 1,921.22/44.85
  6. Step 6: Final answer
    x = 42.84

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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.