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Finding the Fourth Proportional to 83.22, 114.84 and 54.06

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Solution

The fourth proportional to 83.22, 114.84 and 54.06 is: 74.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.22 : 114.84 = 54.06 : x
  2. Step 2: Convert to fraction form
    83.22/114.84 = 54.06/x
  3. Step 3: Cross multiply
    83.22x = 114.84 × 54.06
  4. Step 4: Simplify right side
    83.22x = 6,208.25
  5. Step 5: Solve for x
    x = 6,208.25/83.22
  6. Step 6: Final answer
    x = 74.60

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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.