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Finding the Fourth Proportional to 118.81, 178.16 and 45.70

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Solution

The fourth proportional to 118.81, 178.16 and 45.70 is: 68.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.81 : 178.16 = 45.70 : x
  2. Step 2: Convert to fraction form
    118.81/178.16 = 45.70/x
  3. Step 3: Cross multiply
    118.81x = 178.16 × 45.70
  4. Step 4: Simplify right side
    118.81x = 8,141.91
  5. Step 5: Solve for x
    x = 8,141.91/118.81
  6. Step 6: Final answer
    x = 68.53

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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.