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Finding the Fourth Proportional to 72.98, 109.52 and 34.47

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Solution

The fourth proportional to 72.98, 109.52 and 34.47 is: 51.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.98 : 109.52 = 34.47 : x
  2. Step 2: Convert to fraction form
    72.98/109.52 = 34.47/x
  3. Step 3: Cross multiply
    72.98x = 109.52 × 34.47
  4. Step 4: Simplify right side
    72.98x = 3,775.11
  5. Step 5: Solve for x
    x = 3,775.11/72.98
  6. Step 6: Final answer
    x = 51.73

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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.