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Finding the Fourth Proportional to 77.22, 105.71 and 74.76

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Solution

The fourth proportional to 77.22, 105.71 and 74.76 is: 102.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.22 : 105.71 = 74.76 : x
  2. Step 2: Convert to fraction form
    77.22/105.71 = 74.76/x
  3. Step 3: Cross multiply
    77.22x = 105.71 × 74.76
  4. Step 4: Simplify right side
    77.22x = 7,902.51
  5. Step 5: Solve for x
    x = 7,902.51/77.22
  6. Step 6: Final answer
    x = 102.34

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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.