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Finding the Fourth Proportional to 34.48, 47.60 and 22.84

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Solution

The fourth proportional to 34.48, 47.60 and 22.84 is: 31.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.48 : 47.60 = 22.84 : x
  2. Step 2: Convert to fraction form
    34.48/47.60 = 22.84/x
  3. Step 3: Cross multiply
    34.48x = 47.60 × 22.84
  4. Step 4: Simplify right side
    34.48x = 1,087.40
  5. Step 5: Solve for x
    x = 1,087.40/34.48
  6. Step 6: Final answer
    x = 31.54

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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.