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Finding the Fourth Proportional to 44.19, 61.01 and 31.90

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Solution

The fourth proportional to 44.19, 61.01 and 31.90 is: 44.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.19 : 61.01 = 31.90 : x
  2. Step 2: Convert to fraction form
    44.19/61.01 = 31.90/x
  3. Step 3: Cross multiply
    44.19x = 61.01 × 31.90
  4. Step 4: Simplify right side
    44.19x = 1,946.22
  5. Step 5: Solve for x
    x = 1,946.22/44.19
  6. Step 6: Final answer
    x = 44.04

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