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Finding the Fourth Proportional to 4.14, 5.72 and 2.32

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Solution

The fourth proportional to 4.14, 5.72 and 2.32 is: 3.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.14 : 5.72 = 2.32 : x
  2. Step 2: Convert to fraction form
    4.14/5.72 = 2.32/x
  3. Step 3: Cross multiply
    4.14x = 5.72 × 2.32
  4. Step 4: Simplify right side
    4.14x = 13.29
  5. Step 5: Solve for x
    x = 13.29/4.14
  6. Step 6: Final answer
    x = 3.21

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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.