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Finding the Fourth Proportional to 27.99, 42.06 and 15.16

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Solution

The fourth proportional to 27.99, 42.06 and 15.16 is: 22.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.99 : 42.06 = 15.16 : x
  2. Step 2: Convert to fraction form
    27.99/42.06 = 15.16/x
  3. Step 3: Cross multiply
    27.99x = 42.06 × 15.16
  4. Step 4: Simplify right side
    27.99x = 637.63
  5. Step 5: Solve for x
    x = 637.63/27.99
  6. Step 6: Final answer
    x = 22.78

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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.