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Finding the Fourth Proportional to 11.50, 17.34 and 9.52

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Solution

The fourth proportional to 11.50, 17.34 and 9.52 is: 14.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.50 : 17.34 = 9.52 : x
  2. Step 2: Convert to fraction form
    11.50/17.34 = 9.52/x
  3. Step 3: Cross multiply
    11.50x = 17.34 × 9.52
  4. Step 4: Simplify right side
    11.50x = 165.08
  5. Step 5: Solve for x
    x = 165.08/11.50
  6. Step 6: Final answer
    x = 14.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.