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Finding the Fourth Proportional to 77.22, 105.96 and 70.25

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Solution

The fourth proportional to 77.22, 105.96 and 70.25 is: 96.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.22 : 105.96 = 70.25 : x
  2. Step 2: Convert to fraction form
    77.22/105.96 = 70.25/x
  3. Step 3: Cross multiply
    77.22x = 105.96 × 70.25
  4. Step 4: Simplify right side
    77.22x = 7,443.91
  5. Step 5: Solve for x
    x = 7,443.91/77.22
  6. Step 6: Final answer
    x = 96.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.