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Finding the Fourth Proportional to 83.21, 124.07 and 78.08

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Solution

The fourth proportional to 83.21, 124.07 and 78.08 is: 116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.21 : 124.07 = 78.08 : x
  2. Step 2: Convert to fraction form
    83.21/124.07 = 78.08/x
  3. Step 3: Cross multiply
    83.21x = 124.07 × 78.08
  4. Step 4: Simplify right side
    83.21x = 9,686.37
  5. Step 5: Solve for x
    x = 9,686.37/83.21
  6. Step 6: Final answer
    x = 116.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.