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Finding the Fourth Proportional to 2.17, 3.00 and 1.37

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Solution

The fourth proportional to 2.17, 3.00 and 1.37 is: 1.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.17 : 3.00 = 1.37 : x
  2. Step 2: Convert to fraction form
    2.17/3.00 = 1.37/x
  3. Step 3: Cross multiply
    2.17x = 3.00 × 1.37
  4. Step 4: Simplify right side
    2.17x = 4.09
  5. Step 5: Solve for x
    x = 4.09/2.17
  6. Step 6: Final answer
    x = 1.88

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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.