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Finding the Fourth Proportional to 10.62, 15.92 and 4.91

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Solution

The fourth proportional to 10.62, 15.92 and 4.91 is: 7.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.62 : 15.92 = 4.91 : x
  2. Step 2: Convert to fraction form
    10.62/15.92 = 4.91/x
  3. Step 3: Cross multiply
    10.62x = 15.92 × 4.91
  4. Step 4: Simplify right side
    10.62x = 78.23
  5. Step 5: Solve for x
    x = 78.23/10.62
  6. Step 6: Final answer
    x = 7.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.