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Finding the Fourth Proportional to 118.82, 178.24 and 70.68

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Solution

The fourth proportional to 118.82, 178.24 and 70.68 is: 106.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.82 : 178.24 = 70.68 : x
  2. Step 2: Convert to fraction form
    118.82/178.24 = 70.68/x
  3. Step 3: Cross multiply
    118.82x = 178.24 × 70.68
  4. Step 4: Simplify right side
    118.82x = 12,598.00
  5. Step 5: Solve for x
    x = 12,598.00/118.82
  6. Step 6: Final answer
    x = 106.03

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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.