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Finding the Fourth Proportional to 77.22, 114.84 and 76.50

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Solution

The fourth proportional to 77.22, 114.84 and 76.50 is: 113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.22 : 114.84 = 76.50 : x
  2. Step 2: Convert to fraction form
    77.22/114.84 = 76.50/x
  3. Step 3: Cross multiply
    77.22x = 114.84 × 76.50
  4. Step 4: Simplify right side
    77.22x = 8,785.26
  5. Step 5: Solve for x
    x = 8,785.26/77.22
  6. Step 6: Final answer
    x = 113.77

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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.