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Finding the Fourth Proportional to 117.24, 160.81 and 102.66

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Solution

The fourth proportional to 117.24, 160.81 and 102.66 is: 140.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.24 : 160.81 = 102.66 : x
  2. Step 2: Convert to fraction form
    117.24/160.81 = 102.66/x
  3. Step 3: Cross multiply
    117.24x = 160.81 × 102.66
  4. Step 4: Simplify right side
    117.24x = 16,508.75
  5. Step 5: Solve for x
    x = 16,508.75/117.24
  6. Step 6: Final answer
    x = 140.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.