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Finding the Fourth Proportional to 15.89, 21.92 and 13.16

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Solution

The fourth proportional to 15.89, 21.92 and 13.16 is: 18.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.89 : 21.92 = 13.16 : x
  2. Step 2: Convert to fraction form
    15.89/21.92 = 13.16/x
  3. Step 3: Cross multiply
    15.89x = 21.92 × 13.16
  4. Step 4: Simplify right side
    15.89x = 288.46
  5. Step 5: Solve for x
    x = 288.46/15.89
  6. Step 6: Final answer
    x = 18.16

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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.