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Finding the Fourth Proportional to 72.82, 109.07 and 30.02

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Solution

The fourth proportional to 72.82, 109.07 and 30.02 is: 44.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.82 : 109.07 = 30.02 : x
  2. Step 2: Convert to fraction form
    72.82/109.07 = 30.02/x
  3. Step 3: Cross multiply
    72.82x = 109.07 × 30.02
  4. Step 4: Simplify right side
    72.82x = 3,274.28
  5. Step 5: Solve for x
    x = 3,274.28/72.82
  6. Step 6: Final answer
    x = 44.96

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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.