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Finding the Fourth Proportional to 72.82, 109.62 and 55.79

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Solution

The fourth proportional to 72.82, 109.62 and 55.79 is: 83.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.82 : 109.62 = 55.79 : x
  2. Step 2: Convert to fraction form
    72.82/109.62 = 55.79/x
  3. Step 3: Cross multiply
    72.82x = 109.62 × 55.79
  4. Step 4: Simplify right side
    72.82x = 6,115.70
  5. Step 5: Solve for x
    x = 6,115.70/72.82
  6. Step 6: Final answer
    x = 83.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.