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Finding the Fourth Proportional to 15.99, 22.08 and 10.54

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Solution

The fourth proportional to 15.99, 22.08 and 10.54 is: 14.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.99 : 22.08 = 10.54 : x
  2. Step 2: Convert to fraction form
    15.99/22.08 = 10.54/x
  3. Step 3: Cross multiply
    15.99x = 22.08 × 10.54
  4. Step 4: Simplify right side
    15.99x = 232.72
  5. Step 5: Solve for x
    x = 232.72/15.99
  6. Step 6: Final answer
    x = 14.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.