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Finding the Fourth Proportional to 107.52, 160.48 and 93.84

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Solution

The fourth proportional to 107.52, 160.48 and 93.84 is: 140.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.52 : 160.48 = 93.84 : x
  2. Step 2: Convert to fraction form
    107.52/160.48 = 93.84/x
  3. Step 3: Cross multiply
    107.52x = 160.48 × 93.84
  4. Step 4: Simplify right side
    107.52x = 15,059.44
  5. Step 5: Solve for x
    x = 15,059.44/107.52
  6. Step 6: Final answer
    x = 140.06

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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.