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Finding the Fourth Proportional to 72.44, 108.64 and 49.55

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Solution

The fourth proportional to 72.44, 108.64 and 49.55 is: 74.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.44 : 108.64 = 49.55 : x
  2. Step 2: Convert to fraction form
    72.44/108.64 = 49.55/x
  3. Step 3: Cross multiply
    72.44x = 108.64 × 49.55
  4. Step 4: Simplify right side
    72.44x = 5,383.11
  5. Step 5: Solve for x
    x = 5,383.11/72.44
  6. Step 6: Final answer
    x = 74.31

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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.