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Finding the Fourth Proportional to 114.15, 171.32 and 107.07

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Solution

The fourth proportional to 114.15, 171.32 and 107.07 is: 160.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.15 : 171.32 = 107.07 : x
  2. Step 2: Convert to fraction form
    114.15/171.32 = 107.07/x
  3. Step 3: Cross multiply
    114.15x = 171.32 × 107.07
  4. Step 4: Simplify right side
    114.15x = 18,342.70
  5. Step 5: Solve for x
    x = 18,342.70/114.15
  6. Step 6: Final answer
    x = 160.69

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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.