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Finding the Fourth Proportional to 9.50, 14.32 and 8.52

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Solution

The fourth proportional to 9.50, 14.32 and 8.52 is: 12.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.50 : 14.32 = 8.52 : x
  2. Step 2: Convert to fraction form
    9.50/14.32 = 8.52/x
  3. Step 3: Cross multiply
    9.50x = 14.32 × 8.52
  4. Step 4: Simplify right side
    9.50x = 122.01
  5. Step 5: Solve for x
    x = 122.01/9.50
  6. Step 6: Final answer
    x = 12.84

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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.