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Finding the Fourth Proportional to 84.25, 116.40 and 77.68

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Solution

The fourth proportional to 84.25, 116.40 and 77.68 is: 107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.25 : 116.40 = 77.68 : x
  2. Step 2: Convert to fraction form
    84.25/116.40 = 77.68/x
  3. Step 3: Cross multiply
    84.25x = 116.40 × 77.68
  4. Step 4: Simplify right side
    84.25x = 9,041.95
  5. Step 5: Solve for x
    x = 9,041.95/84.25
  6. Step 6: Final answer
    x = 107.32

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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.