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Finding the Fourth Proportional to 114.03, 170.04 and 107.77

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Solution

The fourth proportional to 114.03, 170.04 and 107.77 is: 160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.03 : 170.04 = 107.77 : x
  2. Step 2: Convert to fraction form
    114.03/170.04 = 107.77/x
  3. Step 3: Cross multiply
    114.03x = 170.04 × 107.77
  4. Step 4: Simplify right side
    114.03x = 18,324.67
  5. Step 5: Solve for x
    x = 18,324.67/114.03
  6. Step 6: Final answer
    x = 160.71

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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.