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Finding the Fourth Proportional to 85.77, 118.32 and 65.12

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Solution

The fourth proportional to 85.77, 118.32 and 65.12 is: 89.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.77 : 118.32 = 65.12 : x
  2. Step 2: Convert to fraction form
    85.77/118.32 = 65.12/x
  3. Step 3: Cross multiply
    85.77x = 118.32 × 65.12
  4. Step 4: Simplify right side
    85.77x = 7,704.41
  5. Step 5: Solve for x
    x = 7,704.41/85.77
  6. Step 6: Final answer
    x = 89.83

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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.