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Finding the Fourth Proportional to 85.99, 118.67 and 49.16

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Solution

The fourth proportional to 85.99, 118.67 and 49.16 is: 67.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.99 : 118.67 = 49.16 : x
  2. Step 2: Convert to fraction form
    85.99/118.67 = 49.16/x
  3. Step 3: Cross multiply
    85.99x = 118.67 × 49.16
  4. Step 4: Simplify right side
    85.99x = 5,832.98
  5. Step 5: Solve for x
    x = 5,832.98/85.99
  6. Step 6: Final answer
    x = 67.84

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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.