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Finding the Fourth Proportional to 133.70, 184.50 and 77.68

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Solution

The fourth proportional to 133.70, 184.50 and 77.68 is: 107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.70 : 184.50 = 77.68 : x
  2. Step 2: Convert to fraction form
    133.70/184.50 = 77.68/x
  3. Step 3: Cross multiply
    133.70x = 184.50 × 77.68
  4. Step 4: Simplify right side
    133.70x = 14,332.62
  5. Step 5: Solve for x
    x = 14,332.62/133.70
  6. Step 6: Final answer
    x = 107.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.