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Finding the Fourth Proportional to 66.24, 98.91 and 50.22

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Solution

The fourth proportional to 66.24, 98.91 and 50.22 is: 74.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.24 : 98.91 = 50.22 : x
  2. Step 2: Convert to fraction form
    66.24/98.91 = 50.22/x
  3. Step 3: Cross multiply
    66.24x = 98.91 × 50.22
  4. Step 4: Simplify right side
    66.24x = 4,967.26
  5. Step 5: Solve for x
    x = 4,967.26/66.24
  6. Step 6: Final answer
    x = 74.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.