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Finding the Fourth Proportional to 84.09, 116.07 and 59.55

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Solution

The fourth proportional to 84.09, 116.07 and 59.55 is: 82.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.09 : 116.07 = 59.55 : x
  2. Step 2: Convert to fraction form
    84.09/116.07 = 59.55/x
  3. Step 3: Cross multiply
    84.09x = 116.07 × 59.55
  4. Step 4: Simplify right side
    84.09x = 6,911.97
  5. Step 5: Solve for x
    x = 6,911.97/84.09
  6. Step 6: Final answer
    x = 82.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.