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Finding the Fourth Proportional to 118.02, 177.08 and 66.75

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Solution

The fourth proportional to 118.02, 177.08 and 66.75 is: 100.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.02 : 177.08 = 66.75 : x
  2. Step 2: Convert to fraction form
    118.02/177.08 = 66.75/x
  3. Step 3: Cross multiply
    118.02x = 177.08 × 66.75
  4. Step 4: Simplify right side
    118.02x = 11,819.76
  5. Step 5: Solve for x
    x = 11,819.76/118.02
  6. Step 6: Final answer
    x = 100.15

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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.