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Finding the Fourth Proportional to 12.10, 15.86 and 12.10

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Solution

The fourth proportional to 12.10, 15.86 and 12.10 is: 15.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.10 : 15.86 = 12.10 : x
  2. Step 2: Convert to fraction form
    12.10/15.86 = 12.10/x
  3. Step 3: Cross multiply
    12.10x = 15.86 × 12.10
  4. Step 4: Simplify right side
    12.10x = 191.91
  5. Step 5: Solve for x
    x = 191.91/12.10
  6. Step 6: Final answer
    x = 15.86

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.