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Finding the Fourth Proportional to 118.93, 178.35 and 40.83

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Solution

The fourth proportional to 118.93, 178.35 and 40.83 is: 61.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.93 : 178.35 = 40.83 : x
  2. Step 2: Convert to fraction form
    118.93/178.35 = 40.83/x
  3. Step 3: Cross multiply
    118.93x = 178.35 × 40.83
  4. Step 4: Simplify right side
    118.93x = 7,282.03
  5. Step 5: Solve for x
    x = 7,282.03/118.93
  6. Step 6: Final answer
    x = 61.23

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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.