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Finding the Fourth Proportional to 107.51, 160.91 and 74.85

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Solution

The fourth proportional to 107.51, 160.91 and 74.85 is: 112.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.51 : 160.91 = 74.85 : x
  2. Step 2: Convert to fraction form
    107.51/160.91 = 74.85/x
  3. Step 3: Cross multiply
    107.51x = 160.91 × 74.85
  4. Step 4: Simplify right side
    107.51x = 12,043.74
  5. Step 5: Solve for x
    x = 12,043.74/107.51
  6. Step 6: Final answer
    x = 112.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.