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Finding the Fourth Proportional to 8.59, 11.78 and 8.50

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Solution

The fourth proportional to 8.59, 11.78 and 8.50 is: 11.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.59 : 11.78 = 8.50 : x
  2. Step 2: Convert to fraction form
    8.59/11.78 = 8.50/x
  3. Step 3: Cross multiply
    8.59x = 11.78 × 8.50
  4. Step 4: Simplify right side
    8.59x = 100.13
  5. Step 5: Solve for x
    x = 100.13/8.59
  6. Step 6: Final answer
    x = 11.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.