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Finding the Fourth Proportional to 107.06, 160.46 and 63.63

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Solution

The fourth proportional to 107.06, 160.46 and 63.63 is: 95.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.06 : 160.46 = 63.63 : x
  2. Step 2: Convert to fraction form
    107.06/160.46 = 63.63/x
  3. Step 3: Cross multiply
    107.06x = 160.46 × 63.63
  4. Step 4: Simplify right side
    107.06x = 10,210.83
  5. Step 5: Solve for x
    x = 10,210.83/107.06
  6. Step 6: Final answer
    x = 95.37

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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.