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Finding the Fourth Proportional to 7.42, 11.14 and 3.42

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Solution

The fourth proportional to 7.42, 11.14 and 3.42 is: 5.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.42 : 11.14 = 3.42 : x
  2. Step 2: Convert to fraction form
    7.42/11.14 = 3.42/x
  3. Step 3: Cross multiply
    7.42x = 11.14 × 3.42
  4. Step 4: Simplify right side
    7.42x = 38.10
  5. Step 5: Solve for x
    x = 38.10/7.42
  6. Step 6: Final answer
    x = 5.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.