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Finding the Fourth Proportional to 107.66, 160.92 and 88.19

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Solution

The fourth proportional to 107.66, 160.92 and 88.19 is: 131.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.66 : 160.92 = 88.19 : x
  2. Step 2: Convert to fraction form
    107.66/160.92 = 88.19/x
  3. Step 3: Cross multiply
    107.66x = 160.92 × 88.19
  4. Step 4: Simplify right side
    107.66x = 14,191.33
  5. Step 5: Solve for x
    x = 14,191.33/107.66
  6. Step 6: Final answer
    x = 131.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.