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Finding the Fourth Proportional to 73.39, 109.86 and 55.39

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Solution

The fourth proportional to 73.39, 109.86 and 55.39 is: 82.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.39 : 109.86 = 55.39 : x
  2. Step 2: Convert to fraction form
    73.39/109.86 = 55.39/x
  3. Step 3: Cross multiply
    73.39x = 109.86 × 55.39
  4. Step 4: Simplify right side
    73.39x = 6,085.15
  5. Step 5: Solve for x
    x = 6,085.15/73.39
  6. Step 6: Final answer
    x = 82.92

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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.