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Finding the Fourth Proportional to 67.57, 93.19 and 42.97

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Solution

The fourth proportional to 67.57, 93.19 and 42.97 is: 59.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.57 : 93.19 = 42.97 : x
  2. Step 2: Convert to fraction form
    67.57/93.19 = 42.97/x
  3. Step 3: Cross multiply
    67.57x = 93.19 × 42.97
  4. Step 4: Simplify right side
    67.57x = 4,004.37
  5. Step 5: Solve for x
    x = 4,004.37/67.57
  6. Step 6: Final answer
    x = 59.26

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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.