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Finding the Fourth Proportional to 118.99, 164.22 and 75.35

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Solution

The fourth proportional to 118.99, 164.22 and 75.35 is: 103.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.99 : 164.22 = 75.35 : x
  2. Step 2: Convert to fraction form
    118.99/164.22 = 75.35/x
  3. Step 3: Cross multiply
    118.99x = 164.22 × 75.35
  4. Step 4: Simplify right side
    118.99x = 12,373.98
  5. Step 5: Solve for x
    x = 12,373.98/118.99
  6. Step 6: Final answer
    x = 103.99

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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.