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Finding the Fourth Proportional to 102.96, 154.17 and 77.22

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Solution

The fourth proportional to 102.96, 154.17 and 77.22 is: 115.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.96 : 154.17 = 77.22 : x
  2. Step 2: Convert to fraction form
    102.96/154.17 = 77.22/x
  3. Step 3: Cross multiply
    102.96x = 154.17 × 77.22
  4. Step 4: Simplify right side
    102.96x = 11,905.01
  5. Step 5: Solve for x
    x = 11,905.01/102.96
  6. Step 6: Final answer
    x = 115.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.