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Finding the Fourth Proportional to 85.78, 128 and 77.13

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Solution

The fourth proportional to 85.78, 128 and 77.13 is: 115.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.78 : 128 = 77.13 : x
  2. Step 2: Convert to fraction form
    85.78/128 = 77.13/x
  3. Step 3: Cross multiply
    85.78x = 128 × 77.13
  4. Step 4: Simplify right side
    85.78x = 9,872.64
  5. Step 5: Solve for x
    x = 9,872.64/85.78
  6. Step 6: Final answer
    x = 115.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.