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Finding the Fourth Proportional to 72.44, 100.51 and 71.82

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Solution

The fourth proportional to 72.44, 100.51 and 71.82 is: 99.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.44 : 100.51 = 71.82 : x
  2. Step 2: Convert to fraction form
    72.44/100.51 = 71.82/x
  3. Step 3: Cross multiply
    72.44x = 100.51 × 71.82
  4. Step 4: Simplify right side
    72.44x = 7,218.63
  5. Step 5: Solve for x
    x = 7,218.63/72.44
  6. Step 6: Final answer
    x = 99.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.