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Finding the Fourth Proportional to 9.51, 14.19 and 8.50

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Solution

The fourth proportional to 9.51, 14.19 and 8.50 is: 12.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.51 : 14.19 = 8.50 : x
  2. Step 2: Convert to fraction form
    9.51/14.19 = 8.50/x
  3. Step 3: Cross multiply
    9.51x = 14.19 × 8.50
  4. Step 4: Simplify right side
    9.51x = 120.57
  5. Step 5: Solve for x
    x = 120.57/9.51
  6. Step 6: Final answer
    x = 12.68

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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.