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Finding the Fourth Proportional to 3.08, 4.64 and 2.42

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Solution

The fourth proportional to 3.08, 4.64 and 2.42 is: 3.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.08 : 4.64 = 2.42 : x
  2. Step 2: Convert to fraction form
    3.08/4.64 = 2.42/x
  3. Step 3: Cross multiply
    3.08x = 4.64 × 2.42
  4. Step 4: Simplify right side
    3.08x = 11.23
  5. Step 5: Solve for x
    x = 11.23/3.08
  6. Step 6: Final answer
    x = 3.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.