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Finding the Fourth Proportional to 38.61, 52.99 and 34.97

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Solution

The fourth proportional to 38.61, 52.99 and 34.97 is: 47.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.61 : 52.99 = 34.97 : x
  2. Step 2: Convert to fraction form
    38.61/52.99 = 34.97/x
  3. Step 3: Cross multiply
    38.61x = 52.99 × 34.97
  4. Step 4: Simplify right side
    38.61x = 1,852.71
  5. Step 5: Solve for x
    x = 1,852.71/38.61
  6. Step 6: Final answer
    x = 47.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.