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Finding the Fourth Proportional to 2.10, 3.14 and 0.91

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Solution

The fourth proportional to 2.10, 3.14 and 0.91 is: 1.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.10 : 3.14 = 0.91 : x
  2. Step 2: Convert to fraction form
    2.10/3.14 = 0.91/x
  3. Step 3: Cross multiply
    2.10x = 3.14 × 0.91
  4. Step 4: Simplify right side
    2.10x = 2.84
  5. Step 5: Solve for x
    x = 2.84/2.10
  6. Step 6: Final answer
    x = 1.36

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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.