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Finding the Fourth Proportional to 72.82, 100.49 and 40.07

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Solution

The fourth proportional to 72.82, 100.49 and 40.07 is: 55.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.82 : 100.49 = 40.07 : x
  2. Step 2: Convert to fraction form
    72.82/100.49 = 40.07/x
  3. Step 3: Cross multiply
    72.82x = 100.49 × 40.07
  4. Step 4: Simplify right side
    72.82x = 4,026.13
  5. Step 5: Solve for x
    x = 4,026.13/72.82
  6. Step 6: Final answer
    x = 55.29

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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.