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Finding the Fourth Proportional to 2.76, 4.14 and 1.42

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Solution

The fourth proportional to 2.76, 4.14 and 1.42 is: 2.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.76 : 4.14 = 1.42 : x
  2. Step 2: Convert to fraction form
    2.76/4.14 = 1.42/x
  3. Step 3: Cross multiply
    2.76x = 4.14 × 1.42
  4. Step 4: Simplify right side
    2.76x = 5.88
  5. Step 5: Solve for x
    x = 5.88/2.76
  6. Step 6: Final answer
    x = 2.13

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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.