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Finding the Fourth Proportional to 22.05, 30.42 and 16.56

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Solution

The fourth proportional to 22.05, 30.42 and 16.56 is: 22.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.05 : 30.42 = 16.56 : x
  2. Step 2: Convert to fraction form
    22.05/30.42 = 16.56/x
  3. Step 3: Cross multiply
    22.05x = 30.42 × 16.56
  4. Step 4: Simplify right side
    22.05x = 503.76
  5. Step 5: Solve for x
    x = 503.76/22.05
  6. Step 6: Final answer
    x = 22.85

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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.