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Finding the Fourth Proportional to 85.63, 118.17 and 46.82

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Solution

The fourth proportional to 85.63, 118.17 and 46.82 is: 64.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.63 : 118.17 = 46.82 : x
  2. Step 2: Convert to fraction form
    85.63/118.17 = 46.82/x
  3. Step 3: Cross multiply
    85.63x = 118.17 × 46.82
  4. Step 4: Simplify right side
    85.63x = 5,531.89
  5. Step 5: Solve for x
    x = 5,531.89/85.63
  6. Step 6: Final answer
    x = 64.61

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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.