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Finding the Fourth Proportional to 68.83, 94.98 and 37.74

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Solution

The fourth proportional to 68.83, 94.98 and 37.74 is: 52.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.83 : 94.98 = 37.74 : x
  2. Step 2: Convert to fraction form
    68.83/94.98 = 37.74/x
  3. Step 3: Cross multiply
    68.83x = 94.98 × 37.74
  4. Step 4: Simplify right side
    68.83x = 3,585.04
  5. Step 5: Solve for x
    x = 3,585.04/68.83
  6. Step 6: Final answer
    x = 52.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.