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Finding the Fourth Proportional to 2.00, 2.76 and 1.40

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Solution

The fourth proportional to 2.00, 2.76 and 1.40 is: 1.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.00 : 2.76 = 1.40 : x
  2. Step 2: Convert to fraction form
    2.00/2.76 = 1.40/x
  3. Step 3: Cross multiply
    2.00x = 2.76 × 1.40
  4. Step 4: Simplify right side
    2.00x = 3.86
  5. Step 5: Solve for x
    x = 3.86/2.00
  6. Step 6: Final answer
    x = 1.93

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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.