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Finding the Fourth Proportional to 72.23, 108.41 and 49.02

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Solution

The fourth proportional to 72.23, 108.41 and 49.02 is: 73.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.23 : 108.41 = 49.02 : x
  2. Step 2: Convert to fraction form
    72.23/108.41 = 49.02/x
  3. Step 3: Cross multiply
    72.23x = 108.41 × 49.02
  4. Step 4: Simplify right side
    72.23x = 5,314.05
  5. Step 5: Solve for x
    x = 5,314.05/72.23
  6. Step 6: Final answer
    x = 73.58

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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.