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Finding the Fourth Proportional to 22.00, 30.38 and 16.53

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Solution

The fourth proportional to 22.00, 30.38 and 16.53 is: 22.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.00 : 30.38 = 16.53 : x
  2. Step 2: Convert to fraction form
    22.00/30.38 = 16.53/x
  3. Step 3: Cross multiply
    22.00x = 30.38 × 16.53
  4. Step 4: Simplify right side
    22.00x = 502.06
  5. Step 5: Solve for x
    x = 502.06/22.00
  6. Step 6: Final answer
    x = 22.82

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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.