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Finding the Fourth Proportional to 112.53, 167.64 and 107.27

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Solution

The fourth proportional to 112.53, 167.64 and 107.27 is: 159.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.53 : 167.64 = 107.27 : x
  2. Step 2: Convert to fraction form
    112.53/167.64 = 107.27/x
  3. Step 3: Cross multiply
    112.53x = 167.64 × 107.27
  4. Step 4: Simplify right side
    112.53x = 17,981.90
  5. Step 5: Solve for x
    x = 17,981.90/112.53
  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.