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Finding the Fourth Proportional to 72.34, 108.62 and 31.84

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Solution

The fourth proportional to 72.34, 108.62 and 31.84 is: 47.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.34 : 108.62 = 31.84 : x
  2. Step 2: Convert to fraction form
    72.34/108.62 = 31.84/x
  3. Step 3: Cross multiply
    72.34x = 108.62 × 31.84
  4. Step 4: Simplify right side
    72.34x = 3,458.94
  5. Step 5: Solve for x
    x = 3,458.94/72.34
  6. Step 6: Final answer
    x = 47.81

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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.