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Finding the Fourth Proportional to 102.88, 154.22 and 51.53

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Solution

The fourth proportional to 102.88, 154.22 and 51.53 is: 77.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.88 : 154.22 = 51.53 : x
  2. Step 2: Convert to fraction form
    102.88/154.22 = 51.53/x
  3. Step 3: Cross multiply
    102.88x = 154.22 × 51.53
  4. Step 4: Simplify right side
    102.88x = 7,947.08
  5. Step 5: Solve for x
    x = 7,947.08/102.88
  6. Step 6: Final answer
    x = 77.25

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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.