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Finding the Fourth Proportional to 84.84, 127.77 and 77.16

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Solution

The fourth proportional to 84.84, 127.77 and 77.16 is: 116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.84 : 127.77 = 77.16 : x
  2. Step 2: Convert to fraction form
    84.84/127.77 = 77.16/x
  3. Step 3: Cross multiply
    84.84x = 127.77 × 77.16
  4. Step 4: Simplify right side
    84.84x = 9,858.73
  5. Step 5: Solve for x
    x = 9,858.73/84.84
  6. Step 6: Final answer
    x = 116.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.