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Finding the Fourth Proportional to 34.47, 47.55 and 22.02

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Solution

The fourth proportional to 34.47, 47.55 and 22.02 is: 30.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.47 : 47.55 = 22.02 : x
  2. Step 2: Convert to fraction form
    34.47/47.55 = 22.02/x
  3. Step 3: Cross multiply
    34.47x = 47.55 × 22.02
  4. Step 4: Simplify right side
    34.47x = 1,047.05
  5. Step 5: Solve for x
    x = 1,047.05/34.47
  6. Step 6: Final answer
    x = 30.38

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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.