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Finding the Fourth Proportional to 118.57, 177.86 and 46.41

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Solution

The fourth proportional to 118.57, 177.86 and 46.41 is: 69.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.57 : 177.86 = 46.41 : x
  2. Step 2: Convert to fraction form
    118.57/177.86 = 46.41/x
  3. Step 3: Cross multiply
    118.57x = 177.86 × 46.41
  4. Step 4: Simplify right side
    118.57x = 8,254.60
  5. Step 5: Solve for x
    x = 8,254.60/118.57
  6. Step 6: Final answer
    x = 69.62

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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.