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Finding the Fourth Proportional to 118.99, 164.17 and 77.50

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Solution

The fourth proportional to 118.99, 164.17 and 77.50 is: 106.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.99 : 164.17 = 77.50 : x
  2. Step 2: Convert to fraction form
    118.99/164.17 = 77.50/x
  3. Step 3: Cross multiply
    118.99x = 164.17 × 77.50
  4. Step 4: Simplify right side
    118.99x = 12,723.18
  5. Step 5: Solve for x
    x = 12,723.18/118.99
  6. Step 6: Final answer
    x = 106.93

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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.