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Finding the Fourth Proportional to 4.29, 5.91 and 3.42

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Solution

The fourth proportional to 4.29, 5.91 and 3.42 is: 4.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.29 : 5.91 = 3.42 : x
  2. Step 2: Convert to fraction form
    4.29/5.91 = 3.42/x
  3. Step 3: Cross multiply
    4.29x = 5.91 × 3.42
  4. Step 4: Simplify right side
    4.29x = 20.21
  5. Step 5: Solve for x
    x = 20.21/4.29
  6. Step 6: Final answer
    x = 4.71

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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.