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Finding the Fourth Proportional to 107.61, 161.55 and 71.29

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Solution

The fourth proportional to 107.61, 161.55 and 71.29 is: 107.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.61 : 161.55 = 71.29 : x
  2. Step 2: Convert to fraction form
    107.61/161.55 = 71.29/x
  3. Step 3: Cross multiply
    107.61x = 161.55 × 71.29
  4. Step 4: Simplify right side
    107.61x = 11,516.90
  5. Step 5: Solve for x
    x = 11,516.90/107.61
  6. Step 6: Final answer
    x = 107.02

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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.