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Finding the Fourth Proportional to 16.90, 25.24 and 15.00

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Solution

The fourth proportional to 16.90, 25.24 and 15.00 is: 22.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.90 : 25.24 = 15.00 : x
  2. Step 2: Convert to fraction form
    16.90/25.24 = 15.00/x
  3. Step 3: Cross multiply
    16.90x = 25.24 × 15.00
  4. Step 4: Simplify right side
    16.90x = 378.49
  5. Step 5: Solve for x
    x = 378.49/16.90
  6. Step 6: Final answer
    x = 22.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.