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Finding the Fourth Proportional to 53.24, 79.85 and 17.17

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Solution

The fourth proportional to 53.24, 79.85 and 17.17 is: 25.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.24 : 79.85 = 17.17 : x
  2. Step 2: Convert to fraction form
    53.24/79.85 = 17.17/x
  3. Step 3: Cross multiply
    53.24x = 79.85 × 17.17
  4. Step 4: Simplify right side
    53.24x = 1,371.02
  5. Step 5: Solve for x
    x = 1,371.02/53.24
  6. Step 6: Final answer
    x = 25.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.