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Finding the Fourth Proportional to 10.80, 16.20 and 7.80

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Solution

The fourth proportional to 10.80, 16.20 and 7.80 is: 11.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.80 : 16.20 = 7.80 : x
  2. Step 2: Convert to fraction form
    10.80/16.20 = 7.80/x
  3. Step 3: Cross multiply
    10.80x = 16.20 × 7.80
  4. Step 4: Simplify right side
    10.80x = 126.36
  5. Step 5: Solve for x
    x = 126.36/10.80
  6. Step 6: Final answer
    x = 11.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.