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Finding the Fourth Proportional to 102.78, 154.26 and 77.02

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Solution

The fourth proportional to 102.78, 154.26 and 77.02 is: 115.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.78 : 154.26 = 77.02 : x
  2. Step 2: Convert to fraction form
    102.78/154.26 = 77.02/x
  3. Step 3: Cross multiply
    102.78x = 154.26 × 77.02
  4. Step 4: Simplify right side
    102.78x = 11,880.72
  5. Step 5: Solve for x
    x = 11,880.72/102.78
  6. Step 6: Final answer
    x = 115.59

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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.