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Finding the Fourth Proportional to 85.78, 118.29 and 80.02

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Solution

The fourth proportional to 85.78, 118.29 and 80.02 is: 110.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.78 : 118.29 = 80.02 : x
  2. Step 2: Convert to fraction form
    85.78/118.29 = 80.02/x
  3. Step 3: Cross multiply
    85.78x = 118.29 × 80.02
  4. Step 4: Simplify right side
    85.78x = 9,465.57
  5. Step 5: Solve for x
    x = 9,465.57/85.78
  6. Step 6: Final answer
    x = 110.35

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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.