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Finding the Fourth Proportional to 114.13, 170.36 and 107.02

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Solution

The fourth proportional to 114.13, 170.36 and 107.02 is: 159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.13 : 170.36 = 107.02 : x
  2. Step 2: Convert to fraction form
    114.13/170.36 = 107.02/x
  3. Step 3: Cross multiply
    114.13x = 170.36 × 107.02
  4. Step 4: Simplify right side
    114.13x = 18,231.93
  5. Step 5: Solve for x
    x = 18,231.93/114.13
  6. Step 6: Final answer
    x = 159.75

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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.