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Finding the Fourth Proportional to 67.16, 92.61 and 56.09

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Solution

The fourth proportional to 67.16, 92.61 and 56.09 is: 77.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.16 : 92.61 = 56.09 : x
  2. Step 2: Convert to fraction form
    67.16/92.61 = 56.09/x
  3. Step 3: Cross multiply
    67.16x = 92.61 × 56.09
  4. Step 4: Simplify right side
    67.16x = 5,194.73
  5. Step 5: Solve for x
    x = 5,194.73/67.16
  6. Step 6: Final answer
    x = 77.35

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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.