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Finding the Fourth Proportional to 72.16, 108.31 and 49.03

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Solution

The fourth proportional to 72.16, 108.31 and 49.03 is: 73.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.16 : 108.31 = 49.03 : x
  2. Step 2: Convert to fraction form
    72.16/108.31 = 49.03/x
  3. Step 3: Cross multiply
    72.16x = 108.31 × 49.03
  4. Step 4: Simplify right side
    72.16x = 5,310.44
  5. Step 5: Solve for x
    x = 5,310.44/72.16
  6. Step 6: Final answer
    x = 73.59

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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.