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Finding the Fourth Proportional to 16.57, 22.85 and 10.10

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Solution

The fourth proportional to 16.57, 22.85 and 10.10 is: 13.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.57 : 22.85 = 10.10 : x
  2. Step 2: Convert to fraction form
    16.57/22.85 = 10.10/x
  3. Step 3: Cross multiply
    16.57x = 22.85 × 10.10
  4. Step 4: Simplify right side
    16.57x = 230.79
  5. Step 5: Solve for x
    x = 230.79/16.57
  6. Step 6: Final answer
    x = 13.93

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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.