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Finding the Fourth Proportional to 72.12, 108.09 and 41.66

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Solution

The fourth proportional to 72.12, 108.09 and 41.66 is: 62.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.12 : 108.09 = 41.66 : x
  2. Step 2: Convert to fraction form
    72.12/108.09 = 41.66/x
  3. Step 3: Cross multiply
    72.12x = 108.09 × 41.66
  4. Step 4: Simplify right side
    72.12x = 4,503.46
  5. Step 5: Solve for x
    x = 4,503.46/72.12
  6. Step 6: Final answer
    x = 62.45

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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.