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Finding the Fourth Proportional to 72.05, 108 and 31.46

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Solution

The fourth proportional to 72.05, 108 and 31.46 is: 47.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.05 : 108 = 31.46 : x
  2. Step 2: Convert to fraction form
    72.05/108 = 31.46/x
  3. Step 3: Cross multiply
    72.05x = 108 × 31.46
  4. Step 4: Simplify right side
    72.05x = 3,397.14
  5. Step 5: Solve for x
    x = 3,397.14/72.05
  6. Step 6: Final answer
    x = 47.15

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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.