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Finding the Fourth Proportional to 47.29, 70.81 and 38.10

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Solution

The fourth proportional to 47.29, 70.81 and 38.10 is: 57.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.29 : 70.81 = 38.10 : x
  2. Step 2: Convert to fraction form
    47.29/70.81 = 38.10/x
  3. Step 3: Cross multiply
    47.29x = 70.81 × 38.10
  4. Step 4: Simplify right side
    47.29x = 2,698.03
  5. Step 5: Solve for x
    x = 2,698.03/47.29
  6. Step 6: Final answer
    x = 57.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.