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Finding the Fourth Proportional to 118.38, 177.64 and 72.75

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Solution

The fourth proportional to 118.38, 177.64 and 72.75 is: 109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.38 : 177.64 = 72.75 : x
  2. Step 2: Convert to fraction form
    118.38/177.64 = 72.75/x
  3. Step 3: Cross multiply
    118.38x = 177.64 × 72.75
  4. Step 4: Simplify right side
    118.38x = 12,923.13
  5. Step 5: Solve for x
    x = 12,923.13/118.38
  6. Step 6: Final answer
    x = 109.17

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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.