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Finding the Fourth Proportional to 7.42, 10.31 and 7.33

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Solution

The fourth proportional to 7.42, 10.31 and 7.33 is: 10.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.42 : 10.31 = 7.33 : x
  2. Step 2: Convert to fraction form
    7.42/10.31 = 7.33/x
  3. Step 3: Cross multiply
    7.42x = 10.31 × 7.33
  4. Step 4: Simplify right side
    7.42x = 75.56
  5. Step 5: Solve for x
    x = 75.56/7.42
  6. Step 6: Final answer
    x = 10.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.