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Finding the Fourth Proportional to 117.24, 161.70 and 77.82

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Solution

The fourth proportional to 117.24, 161.70 and 77.82 is: 107.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.24 : 161.70 = 77.82 : x
  2. Step 2: Convert to fraction form
    117.24/161.70 = 77.82/x
  3. Step 3: Cross multiply
    117.24x = 161.70 × 77.82
  4. Step 4: Simplify right side
    117.24x = 12,583.49
  5. Step 5: Solve for x
    x = 12,583.49/117.24
  6. Step 6: Final answer
    x = 107.33

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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.