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Finding the Fourth Proportional to 11.50, 17.14 and 9.77

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Solution

The fourth proportional to 11.50, 17.14 and 9.77 is: 14.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.50 : 17.14 = 9.77 : x
  2. Step 2: Convert to fraction form
    11.50/17.14 = 9.77/x
  3. Step 3: Cross multiply
    11.50x = 17.14 × 9.77
  4. Step 4: Simplify right side
    11.50x = 167.41
  5. Step 5: Solve for x
    x = 167.41/11.50
  6. Step 6: Final answer
    x = 14.56

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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.