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Finding the Fourth Proportional to 7.77, 11.60 and 7.20

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Solution

The fourth proportional to 7.77, 11.60 and 7.20 is: 10.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.77 : 11.60 = 7.20 : x
  2. Step 2: Convert to fraction form
    7.77/11.60 = 7.20/x
  3. Step 3: Cross multiply
    7.77x = 11.60 × 7.20
  4. Step 4: Simplify right side
    7.77x = 83.48
  5. Step 5: Solve for x
    x = 83.48/7.77
  6. Step 6: Final answer
    x = 10.74

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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.