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Finding the Fourth Proportional to 10.74, 16.03 and 9.78

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Solution

The fourth proportional to 10.74, 16.03 and 9.78 is: 14.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.74 : 16.03 = 9.78 : x
  2. Step 2: Convert to fraction form
    10.74/16.03 = 9.78/x
  3. Step 3: Cross multiply
    10.74x = 16.03 × 9.78
  4. Step 4: Simplify right side
    10.74x = 156.72
  5. Step 5: Solve for x
    x = 156.72/10.74
  6. Step 6: Final answer
    x = 14.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.