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Finding the Fourth Proportional to 66.76, 100.24 and 46.51

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Solution

The fourth proportional to 66.76, 100.24 and 46.51 is: 69.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.76 : 100.24 = 46.51 : x
  2. Step 2: Convert to fraction form
    66.76/100.24 = 46.51/x
  3. Step 3: Cross multiply
    66.76x = 100.24 × 46.51
  4. Step 4: Simplify right side
    66.76x = 4,661.80
  5. Step 5: Solve for x
    x = 4,661.80/66.76
  6. Step 6: Final answer
    x = 69.83

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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.