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Finding the Fourth Proportional to 107.08, 160.53 and 63.68

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Solution

The fourth proportional to 107.08, 160.53 and 63.68 is: 95.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.08 : 160.53 = 63.68 : x
  2. Step 2: Convert to fraction form
    107.08/160.53 = 63.68/x
  3. Step 3: Cross multiply
    107.08x = 160.53 × 63.68
  4. Step 4: Simplify right side
    107.08x = 10,222.55
  5. Step 5: Solve for x
    x = 10,222.55/107.08
  6. Step 6: Final answer
    x = 95.47

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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.