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Finding the Fourth Proportional to 67.60, 93.22 and 49.19

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Solution

The fourth proportional to 67.60, 93.22 and 49.19 is: 67.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.60 : 93.22 = 49.19 : x
  2. Step 2: Convert to fraction form
    67.60/93.22 = 49.19/x
  3. Step 3: Cross multiply
    67.60x = 93.22 × 49.19
  4. Step 4: Simplify right side
    67.60x = 4,585.25
  5. Step 5: Solve for x
    x = 4,585.25/67.60
  6. Step 6: Final answer
    x = 67.83

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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.