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Finding the Fourth Proportional to 84.71, 127.78 and 83.16

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Solution

The fourth proportional to 84.71, 127.78 and 83.16 is: 125.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.71 : 127.78 = 83.16 : x
  2. Step 2: Convert to fraction form
    84.71/127.78 = 83.16/x
  3. Step 3: Cross multiply
    84.71x = 127.78 × 83.16
  4. Step 4: Simplify right side
    84.71x = 10,625.98
  5. Step 5: Solve for x
    x = 10,625.98/84.71
  6. Step 6: Final answer
    x = 125.44

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