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Finding the Fourth Proportional to 9.50, 14.20 and 7.80

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Solution

The fourth proportional to 9.50, 14.20 and 7.80 is: 11.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.50 : 14.20 = 7.80 : x
  2. Step 2: Convert to fraction form
    9.50/14.20 = 7.80/x
  3. Step 3: Cross multiply
    9.50x = 14.20 × 7.80
  4. Step 4: Simplify right side
    9.50x = 110.76
  5. Step 5: Solve for x
    x = 110.76/9.50
  6. Step 6: Final answer
    x = 11.66

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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.