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Finding the Fourth Proportional to 84.78, 116.89 and 60.21

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Solution

The fourth proportional to 84.78, 116.89 and 60.21 is: 83.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.78 : 116.89 = 60.21 : x
  2. Step 2: Convert to fraction form
    84.78/116.89 = 60.21/x
  3. Step 3: Cross multiply
    84.78x = 116.89 × 60.21
  4. Step 4: Simplify right side
    84.78x = 7,037.95
  5. Step 5: Solve for x
    x = 7,037.95/84.78
  6. Step 6: Final answer
    x = 83.01

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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.