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Finding the Fourth Proportional to 34.59, 47.75 and 20.04

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Solution

The fourth proportional to 34.59, 47.75 and 20.04 is: 27.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.59 : 47.75 = 20.04 : x
  2. Step 2: Convert to fraction form
    34.59/47.75 = 20.04/x
  3. Step 3: Cross multiply
    34.59x = 47.75 × 20.04
  4. Step 4: Simplify right side
    34.59x = 956.63
  5. Step 5: Solve for x
    x = 956.63/34.59
  6. Step 6: Final answer
    x = 27.65

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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.