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Finding the Fourth Proportional to 11.59, 15.95 and 10.22

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Solution

The fourth proportional to 11.59, 15.95 and 10.22 is: 14.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.59 : 15.95 = 10.22 : x
  2. Step 2: Convert to fraction form
    11.59/15.95 = 10.22/x
  3. Step 3: Cross multiply
    11.59x = 15.95 × 10.22
  4. Step 4: Simplify right side
    11.59x = 162.95
  5. Step 5: Solve for x
    x = 162.95/11.59
  6. Step 6: Final answer
    x = 14.06

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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.