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Finding the Fourth Proportional to 118.99, 164.18 and 72.37

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Solution

The fourth proportional to 118.99, 164.18 and 72.37 is: 99.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.99 : 164.18 = 72.37 : x
  2. Step 2: Convert to fraction form
    118.99/164.18 = 72.37/x
  3. Step 3: Cross multiply
    118.99x = 164.18 × 72.37
  4. Step 4: Simplify right side
    118.99x = 11,881.71
  5. Step 5: Solve for x
    x = 11,881.71/118.99
  6. Step 6: Final answer
    x = 99.85

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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.