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Finding the Fourth Proportional to 2.13, 3.17 and 2.06

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Solution

The fourth proportional to 2.13, 3.17 and 2.06 is: 3.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.13 : 3.17 = 2.06 : x
  2. Step 2: Convert to fraction form
    2.13/3.17 = 2.06/x
  3. Step 3: Cross multiply
    2.13x = 3.17 × 2.06
  4. Step 4: Simplify right side
    2.13x = 6.53
  5. Step 5: Solve for x
    x = 6.53/2.13
  6. Step 6: Final answer
    x = 3.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.