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Finding the Fourth Proportional to 110.53, 152.67 and 84.43

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Solution

The fourth proportional to 110.53, 152.67 and 84.43 is: 116.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.53 : 152.67 = 84.43 : x
  2. Step 2: Convert to fraction form
    110.53/152.67 = 84.43/x
  3. Step 3: Cross multiply
    110.53x = 152.67 × 84.43
  4. Step 4: Simplify right side
    110.53x = 12,889.93
  5. Step 5: Solve for x
    x = 12,889.93/110.53
  6. Step 6: Final answer
    x = 116.62

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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.