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Finding the Fourth Proportional to 102.90, 154.34 and 51.50

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Solution

The fourth proportional to 102.90, 154.34 and 51.50 is: 77.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.90 : 154.34 = 51.50 : x
  2. Step 2: Convert to fraction form
    102.90/154.34 = 51.50/x
  3. Step 3: Cross multiply
    102.90x = 154.34 × 51.50
  4. Step 4: Simplify right side
    102.90x = 7,947.48
  5. Step 5: Solve for x
    x = 7,947.48/102.90
  6. Step 6: Final answer
    x = 77.23

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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.