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Finding the Fourth Proportional to 17.76, 26.49 and 17.28

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Solution

The fourth proportional to 17.76, 26.49 and 17.28 is: 25.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.76 : 26.49 = 17.28 : x
  2. Step 2: Convert to fraction form
    17.76/26.49 = 17.28/x
  3. Step 3: Cross multiply
    17.76x = 26.49 × 17.28
  4. Step 4: Simplify right side
    17.76x = 457.75
  5. Step 5: Solve for x
    x = 457.75/17.76
  6. Step 6: Final answer
    x = 25.77

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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.