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Finding the Fourth Proportional to 107.24, 160.07 and 92.88

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Solution

The fourth proportional to 107.24, 160.07 and 92.88 is: 138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.24 : 160.07 = 92.88 : x
  2. Step 2: Convert to fraction form
    107.24/160.07 = 92.88/x
  3. Step 3: Cross multiply
    107.24x = 160.07 × 92.88
  4. Step 4: Simplify right side
    107.24x = 14,866.84
  5. Step 5: Solve for x
    x = 14,866.84/107.24
  6. Step 6: Final answer
    x = 138.64

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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.