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Finding the Fourth Proportional to 16.65, 23.01 and 13.01

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Solution

The fourth proportional to 16.65, 23.01 and 13.01 is: 17.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.65 : 23.01 = 13.01 : x
  2. Step 2: Convert to fraction form
    16.65/23.01 = 13.01/x
  3. Step 3: Cross multiply
    16.65x = 23.01 × 13.01
  4. Step 4: Simplify right side
    16.65x = 299.25
  5. Step 5: Solve for x
    x = 299.25/16.65
  6. Step 6: Final answer
    x = 17.97

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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.