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Finding the Fourth Proportional to 1.78, 2.46 and 1.42

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Solution

The fourth proportional to 1.78, 2.46 and 1.42 is: 1.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.78 : 2.46 = 1.42 : x
  2. Step 2: Convert to fraction form
    1.78/2.46 = 1.42/x
  3. Step 3: Cross multiply
    1.78x = 2.46 × 1.42
  4. Step 4: Simplify right side
    1.78x = 3.49
  5. Step 5: Solve for x
    x = 3.49/1.78
  6. Step 6: Final answer
    x = 1.96

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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.