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Finding the Fourth Proportional to 66.06, 98.70 and 50.82

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Solution

The fourth proportional to 66.06, 98.70 and 50.82 is: 75.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.06 : 98.70 = 50.82 : x
  2. Step 2: Convert to fraction form
    66.06/98.70 = 50.82/x
  3. Step 3: Cross multiply
    66.06x = 98.70 × 50.82
  4. Step 4: Simplify right side
    66.06x = 5,015.93
  5. Step 5: Solve for x
    x = 5,015.93/66.06
  6. Step 6: Final answer
    x = 75.93

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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.