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Finding the Fourth Proportional to 72.46, 108.54 and 33.98

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Solution

The fourth proportional to 72.46, 108.54 and 33.98 is: 50.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.46 : 108.54 = 33.98 : x
  2. Step 2: Convert to fraction form
    72.46/108.54 = 33.98/x
  3. Step 3: Cross multiply
    72.46x = 108.54 × 33.98
  4. Step 4: Simplify right side
    72.46x = 3,687.48
  5. Step 5: Solve for x
    x = 3,687.48/72.46
  6. Step 6: Final answer
    x = 50.89

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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.