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Finding the Fourth Proportional to 7.46, 10.34 and 7.34

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Solution

The fourth proportional to 7.46, 10.34 and 7.34 is: 10.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.46 : 10.34 = 7.34 : x
  2. Step 2: Convert to fraction form
    7.46/10.34 = 7.34/x
  3. Step 3: Cross multiply
    7.46x = 10.34 × 7.34
  4. Step 4: Simplify right side
    7.46x = 75.90
  5. Step 5: Solve for x
    x = 75.90/7.46
  6. Step 6: Final answer
    x = 10.17

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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.