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Finding the Fourth Proportional to 38.04, 57.06 and 20.00

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Solution

The fourth proportional to 38.04, 57.06 and 20.00 is: 29.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.04 : 57.06 = 20.00 : x
  2. Step 2: Convert to fraction form
    38.04/57.06 = 20.00/x
  3. Step 3: Cross multiply
    38.04x = 57.06 × 20.00
  4. Step 4: Simplify right side
    38.04x = 1,140.91
  5. Step 5: Solve for x
    x = 1,140.91/38.04
  6. Step 6: Final answer
    x = 29.99

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Why These Related Problems?

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