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Finding the Fourth Proportional to 72.86, 100.43 and 52.09

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Solution

The fourth proportional to 72.86, 100.43 and 52.09 is: 71.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.86 : 100.43 = 52.09 : x
  2. Step 2: Convert to fraction form
    72.86/100.43 = 52.09/x
  3. Step 3: Cross multiply
    72.86x = 100.43 × 52.09
  4. Step 4: Simplify right side
    72.86x = 5,230.64
  5. Step 5: Solve for x
    x = 5,230.64/72.86
  6. Step 6: Final answer
    x = 71.80

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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.