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Finding the Fourth Proportional to 16.17, 22.30 and 11.00

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Solution

The fourth proportional to 16.17, 22.30 and 11.00 is: 15.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.17 : 22.30 = 11.00 : x
  2. Step 2: Convert to fraction form
    16.17/22.30 = 11.00/x
  3. Step 3: Cross multiply
    16.17x = 22.30 × 11.00
  4. Step 4: Simplify right side
    16.17x = 245.19
  5. Step 5: Solve for x
    x = 245.19/16.17
  6. Step 6: Final answer
    x = 15.16

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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.