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Finding the Fourth Proportional to 1.31, 1.96 and 1.09

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Solution

The fourth proportional to 1.31, 1.96 and 1.09 is: 1.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.31 : 1.96 = 1.09 : x
  2. Step 2: Convert to fraction form
    1.31/1.96 = 1.09/x
  3. Step 3: Cross multiply
    1.31x = 1.96 × 1.09
  4. Step 4: Simplify right side
    1.31x = 2.13
  5. Step 5: Solve for x
    x = 2.13/1.31
  6. Step 6: Final answer
    x = 1.62

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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.