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Finding the Fourth Proportional to 114.44, 170.53 and 107.24

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Solution

The fourth proportional to 114.44, 170.53 and 107.24 is: 159.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.44 : 170.53 = 107.24 : x
  2. Step 2: Convert to fraction form
    114.44/170.53 = 107.24/x
  3. Step 3: Cross multiply
    114.44x = 170.53 × 107.24
  4. Step 4: Simplify right side
    114.44x = 18,287.64
  5. Step 5: Solve for x
    x = 18,287.64/114.44
  6. Step 6: Final answer
    x = 159.80

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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.