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Finding the Fourth Proportional to 72.76, 100.41 and 40.02

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Solution

The fourth proportional to 72.76, 100.41 and 40.02 is: 55.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.76 : 100.41 = 40.02 : x
  2. Step 2: Convert to fraction form
    72.76/100.41 = 40.02/x
  3. Step 3: Cross multiply
    72.76x = 100.41 × 40.02
  4. Step 4: Simplify right side
    72.76x = 4,018.01
  5. Step 5: Solve for x
    x = 4,018.01/72.76
  6. Step 6: Final answer
    x = 55.22

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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.