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Finding the Fourth Proportional to 72.86, 100.44 and 59.82

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Solution

The fourth proportional to 72.86, 100.44 and 59.82 is: 82.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.86 : 100.44 = 59.82 : x
  2. Step 2: Convert to fraction form
    72.86/100.44 = 59.82/x
  3. Step 3: Cross multiply
    72.86x = 100.44 × 59.82
  4. Step 4: Simplify right side
    72.86x = 6,008.32
  5. Step 5: Solve for x
    x = 6,008.32/72.86
  6. Step 6: Final answer
    x = 82.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.