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Finding the Fourth Proportional to 83.60, 114.62 and 82.06

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Solution

The fourth proportional to 83.60, 114.62 and 82.06 is: 112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.60 : 114.62 = 82.06 : x
  2. Step 2: Convert to fraction form
    83.60/114.62 = 82.06/x
  3. Step 3: Cross multiply
    83.60x = 114.62 × 82.06
  4. Step 4: Simplify right side
    83.60x = 9,405.02
  5. Step 5: Solve for x
    x = 9,405.02/83.60
  6. Step 6: Final answer
    x = 112.50

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.