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Finding the Fourth Proportional to 7.95, 12 and 7.80

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Solution

The fourth proportional to 7.95, 12 and 7.80 is: 11.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.95 : 12 = 7.80 : x
  2. Step 2: Convert to fraction form
    7.95/12 = 7.80/x
  3. Step 3: Cross multiply
    7.95x = 12 × 7.80
  4. Step 4: Simplify right side
    7.95x = 93.60
  5. Step 5: Solve for x
    x = 93.60/7.95
  6. Step 6: Final answer
    x = 11.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.