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Finding the Fourth Proportional to 85.72, 118.29 and 46.91

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Solution

The fourth proportional to 85.72, 118.29 and 46.91 is: 64.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.72 : 118.29 = 46.91 : x
  2. Step 2: Convert to fraction form
    85.72/118.29 = 46.91/x
  3. Step 3: Cross multiply
    85.72x = 118.29 × 46.91
  4. Step 4: Simplify right side
    85.72x = 5,548.39
  5. Step 5: Solve for x
    x = 5,548.39/85.72
  6. Step 6: Final answer
    x = 64.73

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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.