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Finding the Fourth Proportional to 16.53, 22.71 and 13.77

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Solution

The fourth proportional to 16.53, 22.71 and 13.77 is: 18.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.53 : 22.71 = 13.77 : x
  2. Step 2: Convert to fraction form
    16.53/22.71 = 13.77/x
  3. Step 3: Cross multiply
    16.53x = 22.71 × 13.77
  4. Step 4: Simplify right side
    16.53x = 312.72
  5. Step 5: Solve for x
    x = 312.72/16.53
  6. Step 6: Final answer
    x = 18.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.