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Finding the Fourth Proportional to 72.06, 99.41 and 50.24

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Solution

The fourth proportional to 72.06, 99.41 and 50.24 is: 69.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.06 : 99.41 = 50.24 : x
  2. Step 2: Convert to fraction form
    72.06/99.41 = 50.24/x
  3. Step 3: Cross multiply
    72.06x = 99.41 × 50.24
  4. Step 4: Simplify right side
    72.06x = 4,994.55
  5. Step 5: Solve for x
    x = 4,994.55/72.06
  6. Step 6: Final answer
    x = 69.31

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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.