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Finding the Fourth Proportional to 117.85, 176.78 and 44.70

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Solution

The fourth proportional to 117.85, 176.78 and 44.70 is: 67.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.85 : 176.78 = 44.70 : x
  2. Step 2: Convert to fraction form
    117.85/176.78 = 44.70/x
  3. Step 3: Cross multiply
    117.85x = 176.78 × 44.70
  4. Step 4: Simplify right side
    117.85x = 7,902.01
  5. Step 5: Solve for x
    x = 7,902.01/117.85
  6. Step 6: Final answer
    x = 67.05

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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.