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Finding the Fourth Proportional to 16.36, 22.58 and 9.45

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Solution

The fourth proportional to 16.36, 22.58 and 9.45 is: 13.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.36 : 22.58 = 9.45 : x
  2. Step 2: Convert to fraction form
    16.36/22.58 = 9.45/x
  3. Step 3: Cross multiply
    16.36x = 22.58 × 9.45
  4. Step 4: Simplify right side
    16.36x = 213.46
  5. Step 5: Solve for x
    x = 213.46/16.36
  6. Step 6: Final answer
    x = 13.05

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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.