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Finding the Fourth Proportional to 68.61, 94.58 and 52.21

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Solution

The fourth proportional to 68.61, 94.58 and 52.21 is: 71.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.61 : 94.58 = 52.21 : x
  2. Step 2: Convert to fraction form
    68.61/94.58 = 52.21/x
  3. Step 3: Cross multiply
    68.61x = 94.58 × 52.21
  4. Step 4: Simplify right side
    68.61x = 4,937.92
  5. Step 5: Solve for x
    x = 4,937.92/68.61
  6. Step 6: Final answer
    x = 71.97

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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.