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Finding the Fourth Proportional to 117.22, 161.81 and 75.77

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Solution

The fourth proportional to 117.22, 161.81 and 75.77 is: 104.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.22 : 161.81 = 75.77 : x
  2. Step 2: Convert to fraction form
    117.22/161.81 = 75.77/x
  3. Step 3: Cross multiply
    117.22x = 161.81 × 75.77
  4. Step 4: Simplify right side
    117.22x = 12,260.34
  5. Step 5: Solve for x
    x = 12,260.34/117.22
  6. Step 6: Final answer
    x = 104.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.