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Finding the Fourth Proportional to 68.62, 94.65 and 52.19

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Solution

The fourth proportional to 68.62, 94.65 and 52.19 is: 71.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.62 : 94.65 = 52.19 : x
  2. Step 2: Convert to fraction form
    68.62/94.65 = 52.19/x
  3. Step 3: Cross multiply
    68.62x = 94.65 × 52.19
  4. Step 4: Simplify right side
    68.62x = 4,939.78
  5. Step 5: Solve for x
    x = 4,939.78/68.62
  6. Step 6: Final answer
    x = 71.99

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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.