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Finding the Fourth Proportional to 107.22, 160.08 and 92.76

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Solution

The fourth proportional to 107.22, 160.08 and 92.76 is: 138.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.22 : 160.08 = 92.76 : x
  2. Step 2: Convert to fraction form
    107.22/160.08 = 92.76/x
  3. Step 3: Cross multiply
    107.22x = 160.08 × 92.76
  4. Step 4: Simplify right side
    107.22x = 14,849.02
  5. Step 5: Solve for x
    x = 14,849.02/107.22
  6. Step 6: Final answer
    x = 138.49

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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.