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Finding the Fourth Proportional to 10.87, 16.24 and 9.25

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Solution

The fourth proportional to 10.87, 16.24 and 9.25 is: 13.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.87 : 16.24 = 9.25 : x
  2. Step 2: Convert to fraction form
    10.87/16.24 = 9.25/x
  3. Step 3: Cross multiply
    10.87x = 16.24 × 9.25
  4. Step 4: Simplify right side
    10.87x = 150.22
  5. Step 5: Solve for x
    x = 150.22/10.87
  6. Step 6: Final answer
    x = 13.82

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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.