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Finding the Fourth Proportional to 7.46, 10.30 and 6.10

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Solution

The fourth proportional to 7.46, 10.30 and 6.10 is: 8.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.46 : 10.30 = 6.10 : x
  2. Step 2: Convert to fraction form
    7.46/10.30 = 6.10/x
  3. Step 3: Cross multiply
    7.46x = 10.30 × 6.10
  4. Step 4: Simplify right side
    7.46x = 62.83
  5. Step 5: Solve for x
    x = 62.83/7.46
  6. Step 6: Final answer
    x = 8.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.