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Finding the Fourth Proportional to 10.49, 15.84 and 10.44

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Solution

The fourth proportional to 10.49, 15.84 and 10.44 is: 15.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.49 : 15.84 = 10.44 : x
  2. Step 2: Convert to fraction form
    10.49/15.84 = 10.44/x
  3. Step 3: Cross multiply
    10.49x = 15.84 × 10.44
  4. Step 4: Simplify right side
    10.49x = 165.37
  5. Step 5: Solve for x
    x = 165.37/10.49
  6. Step 6: Final answer
    x = 15.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.