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Finding the Fourth Proportional to 117.72, 177.12 and 69.66

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Solution

The fourth proportional to 117.72, 177.12 and 69.66 is: 104.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.72 : 177.12 = 69.66 : x
  2. Step 2: Convert to fraction form
    117.72/177.12 = 69.66/x
  3. Step 3: Cross multiply
    117.72x = 177.12 × 69.66
  4. Step 4: Simplify right side
    117.72x = 12,338.18
  5. Step 5: Solve for x
    x = 12,338.18/117.72
  6. Step 6: Final answer
    x = 104.81

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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.