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Finding the Fourth Proportional to 61.00, 91.96 and 57.69

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Solution

The fourth proportional to 61.00, 91.96 and 57.69 is: 86.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.00 : 91.96 = 57.69 : x
  2. Step 2: Convert to fraction form
    61.00/91.96 = 57.69/x
  3. Step 3: Cross multiply
    61.00x = 91.96 × 57.69
  4. Step 4: Simplify right side
    61.00x = 5,305.03
  5. Step 5: Solve for x
    x = 5,305.03/61.00
  6. Step 6: Final answer
    x = 86.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.