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Finding the Fourth Proportional to 66.59, 91.82 and 50.02

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Solution

The fourth proportional to 66.59, 91.82 and 50.02 is: 68.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.59 : 91.82 = 50.02 : x
  2. Step 2: Convert to fraction form
    66.59/91.82 = 50.02/x
  3. Step 3: Cross multiply
    66.59x = 91.82 × 50.02
  4. Step 4: Simplify right side
    66.59x = 4,592.36
  5. Step 5: Solve for x
    x = 4,592.36/66.59
  6. Step 6: Final answer
    x = 68.97

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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.