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Finding the Fourth Proportional to 71.35, 106.86 and 55.07

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Solution

The fourth proportional to 71.35, 106.86 and 55.07 is: 82.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.35 : 106.86 = 55.07 : x
  2. Step 2: Convert to fraction form
    71.35/106.86 = 55.07/x
  3. Step 3: Cross multiply
    71.35x = 106.86 × 55.07
  4. Step 4: Simplify right side
    71.35x = 5,884.85
  5. Step 5: Solve for x
    x = 5,884.85/71.35
  6. Step 6: Final answer
    x = 82.48

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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.