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Finding the Fourth Proportional to 34.46, 47.55 and 22.16

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Solution

The fourth proportional to 34.46, 47.55 and 22.16 is: 30.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.46 : 47.55 = 22.16 : x
  2. Step 2: Convert to fraction form
    34.46/47.55 = 22.16/x
  3. Step 3: Cross multiply
    34.46x = 47.55 × 22.16
  4. Step 4: Simplify right side
    34.46x = 1,053.74
  5. Step 5: Solve for x
    x = 1,053.74/34.46
  6. Step 6: Final answer
    x = 30.58

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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.