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Finding the Fourth Proportional to 12.84, 17.68 and 9.77

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Solution

The fourth proportional to 12.84, 17.68 and 9.77 is: 13.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.84 : 17.68 = 9.77 : x
  2. Step 2: Convert to fraction form
    12.84/17.68 = 9.77/x
  3. Step 3: Cross multiply
    12.84x = 17.68 × 9.77
  4. Step 4: Simplify right side
    12.84x = 172.62
  5. Step 5: Solve for x
    x = 172.62/12.84
  6. Step 6: Final answer
    x = 13.44

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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.