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Finding the Fourth Proportional to 10.78, 14.88 and 6.41

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Solution

The fourth proportional to 10.78, 14.88 and 6.41 is: 8.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.78 : 14.88 = 6.41 : x
  2. Step 2: Convert to fraction form
    10.78/14.88 = 6.41/x
  3. Step 3: Cross multiply
    10.78x = 14.88 × 6.41
  4. Step 4: Simplify right side
    10.78x = 95.31
  5. Step 5: Solve for x
    x = 95.31/10.78
  6. Step 6: Final answer
    x = 8.84

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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.