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Finding the Fourth Proportional to 72.35, 108.49 and 35.76

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Solution

The fourth proportional to 72.35, 108.49 and 35.76 is: 53.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.35 : 108.49 = 35.76 : x
  2. Step 2: Convert to fraction form
    72.35/108.49 = 35.76/x
  3. Step 3: Cross multiply
    72.35x = 108.49 × 35.76
  4. Step 4: Simplify right side
    72.35x = 3,879.42
  5. Step 5: Solve for x
    x = 3,879.42/72.35
  6. Step 6: Final answer
    x = 53.62

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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.