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Finding the Fourth Proportional to 16.72, 23.08 and 9.45

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Solution

The fourth proportional to 16.72, 23.08 and 9.45 is: 13.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.72 : 23.08 = 9.45 : x
  2. Step 2: Convert to fraction form
    16.72/23.08 = 9.45/x
  3. Step 3: Cross multiply
    16.72x = 23.08 × 9.45
  4. Step 4: Simplify right side
    16.72x = 218.00
  5. Step 5: Solve for x
    x = 218.00/16.72
  6. Step 6: Final answer
    x = 13.04

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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.