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Finding the Fourth Proportional to 107.12, 160.63 and 52.24

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Solution

The fourth proportional to 107.12, 160.63 and 52.24 is: 78.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.12 : 160.63 = 52.24 : x
  2. Step 2: Convert to fraction form
    107.12/160.63 = 52.24/x
  3. Step 3: Cross multiply
    107.12x = 160.63 × 52.24
  4. Step 4: Simplify right side
    107.12x = 8,390.97
  5. Step 5: Solve for x
    x = 8,390.97/107.12
  6. Step 6: Final answer
    x = 78.34

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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.