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Finding the Fourth Proportional to 16.50, 22.77 and 10.03

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Solution

The fourth proportional to 16.50, 22.77 and 10.03 is: 13.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.50 : 22.77 = 10.03 : x
  2. Step 2: Convert to fraction form
    16.50/22.77 = 10.03/x
  3. Step 3: Cross multiply
    16.50x = 22.77 × 10.03
  4. Step 4: Simplify right side
    16.50x = 228.38
  5. Step 5: Solve for x
    x = 228.38/16.50
  6. Step 6: Final answer
    x = 13.84

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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.