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Finding the Fourth Proportional to 118.58, 177.89 and 45.46

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Solution

The fourth proportional to 118.58, 177.89 and 45.46 is: 68.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.58 : 177.89 = 45.46 : x
  2. Step 2: Convert to fraction form
    118.58/177.89 = 45.46/x
  3. Step 3: Cross multiply
    118.58x = 177.89 × 45.46
  4. Step 4: Simplify right side
    118.58x = 8,086.88
  5. Step 5: Solve for x
    x = 8,086.88/118.58
  6. Step 6: Final answer
    x = 68.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.