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Finding the Fourth Proportional to 15.59, 21.49 and 13.14

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Solution

The fourth proportional to 15.59, 21.49 and 13.14 is: 18.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.59 : 21.49 = 13.14 : x
  2. Step 2: Convert to fraction form
    15.59/21.49 = 13.14/x
  3. Step 3: Cross multiply
    15.59x = 21.49 × 13.14
  4. Step 4: Simplify right side
    15.59x = 282.31
  5. Step 5: Solve for x
    x = 282.31/15.59
  6. Step 6: Final answer
    x = 18.11

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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.