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Finding the Fourth Proportional to 66.84, 100.08 and 46.56

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Solution

The fourth proportional to 66.84, 100.08 and 46.56 is: 69.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.84 : 100.08 = 46.56 : x
  2. Step 2: Convert to fraction form
    66.84/100.08 = 46.56/x
  3. Step 3: Cross multiply
    66.84x = 100.08 × 46.56
  4. Step 4: Simplify right side
    66.84x = 4,659.72
  5. Step 5: Solve for x
    x = 4,659.72/66.84
  6. Step 6: Final answer
    x = 69.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.