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Finding the Fourth Proportional to 44.89, 61.96 and 34.00

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Solution

The fourth proportional to 44.89, 61.96 and 34.00 is: 46.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.89 : 61.96 = 34.00 : x
  2. Step 2: Convert to fraction form
    44.89/61.96 = 34.00/x
  3. Step 3: Cross multiply
    44.89x = 61.96 × 34.00
  4. Step 4: Simplify right side
    44.89x = 2,106.33
  5. Step 5: Solve for x
    x = 2,106.33/44.89
  6. Step 6: Final answer
    x = 46.93

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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.