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Finding the Fourth Proportional to 47.04, 70.56 and 22.96

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Solution

The fourth proportional to 47.04, 70.56 and 22.96 is: 34.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.04 : 70.56 = 22.96 : x
  2. Step 2: Convert to fraction form
    47.04/70.56 = 22.96/x
  3. Step 3: Cross multiply
    47.04x = 70.56 × 22.96
  4. Step 4: Simplify right side
    47.04x = 1,620.06
  5. Step 5: Solve for x
    x = 1,620.06/47.04
  6. Step 6: Final answer
    x = 34.44

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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.