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Finding the Fourth Proportional to 10.23, 14.11 and 7.46

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Solution

The fourth proportional to 10.23, 14.11 and 7.46 is: 10.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.23 : 14.11 = 7.46 : x
  2. Step 2: Convert to fraction form
    10.23/14.11 = 7.46/x
  3. Step 3: Cross multiply
    10.23x = 14.11 × 7.46
  4. Step 4: Simplify right side
    10.23x = 105.30
  5. Step 5: Solve for x
    x = 105.30/10.23
  6. Step 6: Final answer
    x = 10.29

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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.