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Finding the Fourth Proportional to 81.15, 111.87 and 64.75

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Solution

The fourth proportional to 81.15, 111.87 and 64.75 is: 89.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.15 : 111.87 = 64.75 : x
  2. Step 2: Convert to fraction form
    81.15/111.87 = 64.75/x
  3. Step 3: Cross multiply
    81.15x = 111.87 × 64.75
  4. Step 4: Simplify right side
    81.15x = 7,243.58
  5. Step 5: Solve for x
    x = 7,243.58/81.15
  6. Step 6: Final answer
    x = 89.26

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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.