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Finding the Fourth Proportional to 110.46, 152.46 and 66.83

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Solution

The fourth proportional to 110.46, 152.46 and 66.83 is: 92.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.46 : 152.46 = 66.83 : x
  2. Step 2: Convert to fraction form
    110.46/152.46 = 66.83/x
  3. Step 3: Cross multiply
    110.46x = 152.46 × 66.83
  4. Step 4: Simplify right side
    110.46x = 10,188.14
  5. Step 5: Solve for x
    x = 10,188.14/110.46
  6. Step 6: Final answer
    x = 92.23

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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.