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Finding the Fourth Proportional to 9.99, 15.00 and 8.54

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Solution

The fourth proportional to 9.99, 15.00 and 8.54 is: 12.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.99 : 15.00 = 8.54 : x
  2. Step 2: Convert to fraction form
    9.99/15.00 = 8.54/x
  3. Step 3: Cross multiply
    9.99x = 15.00 × 8.54
  4. Step 4: Simplify right side
    9.99x = 128.12
  5. Step 5: Solve for x
    x = 128.12/9.99
  6. Step 6: Final answer
    x = 12.83

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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.