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Finding the Fourth Proportional to 112.51, 167.63 and 107.83

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Solution

The fourth proportional to 112.51, 167.63 and 107.83 is: 160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.51 : 167.63 = 107.83 : x
  2. Step 2: Convert to fraction form
    112.51/167.63 = 107.83/x
  3. Step 3: Cross multiply
    112.51x = 167.63 × 107.83
  4. Step 4: Simplify right side
    112.51x = 18,075.54
  5. Step 5: Solve for x
    x = 18,075.54/112.51
  6. Step 6: Final answer
    x = 160.66

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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.