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Finding the Fourth Proportional to 118.78, 178.25 and 46.69

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Solution

The fourth proportional to 118.78, 178.25 and 46.69 is: 70.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.78 : 178.25 = 46.69 : x
  2. Step 2: Convert to fraction form
    118.78/178.25 = 46.69/x
  3. Step 3: Cross multiply
    118.78x = 178.25 × 46.69
  4. Step 4: Simplify right side
    118.78x = 8,322.49
  5. Step 5: Solve for x
    x = 8,322.49/118.78
  6. Step 6: Final answer
    x = 70.07

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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.