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Finding the Fourth Proportional to 85.77, 118.41 and 65.08

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Solution

The fourth proportional to 85.77, 118.41 and 65.08 is: 89.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.77 : 118.41 = 65.08 : x
  2. Step 2: Convert to fraction form
    85.77/118.41 = 65.08/x
  3. Step 3: Cross multiply
    85.77x = 118.41 × 65.08
  4. Step 4: Simplify right side
    85.77x = 7,706.12
  5. Step 5: Solve for x
    x = 7,706.12/85.77
  6. Step 6: Final answer
    x = 89.85

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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.