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Finding the Fourth Proportional to 2.42, 3.64 and 2.12

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Solution

The fourth proportional to 2.42, 3.64 and 2.12 is: 3.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.42 : 3.64 = 2.12 : x
  2. Step 2: Convert to fraction form
    2.42/3.64 = 2.12/x
  3. Step 3: Cross multiply
    2.42x = 3.64 × 2.12
  4. Step 4: Simplify right side
    2.42x = 7.72
  5. Step 5: Solve for x
    x = 7.72/2.42
  6. Step 6: Final answer
    x = 3.19

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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.