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Finding the Fourth Proportional to 10.67, 14.72 and 7.43

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Solution

The fourth proportional to 10.67, 14.72 and 7.43 is: 10.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.67 : 14.72 = 7.43 : x
  2. Step 2: Convert to fraction form
    10.67/14.72 = 7.43/x
  3. Step 3: Cross multiply
    10.67x = 14.72 × 7.43
  4. Step 4: Simplify right side
    10.67x = 109.37
  5. Step 5: Solve for x
    x = 109.37/10.67
  6. Step 6: Final answer
    x = 10.25

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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.