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Finding the Fourth Proportional to 157.43, 217.23 and 105.09

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Solution

The fourth proportional to 157.43, 217.23 and 105.09 is: 145.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.43 : 217.23 = 105.09 : x
  2. Step 2: Convert to fraction form
    157.43/217.23 = 105.09/x
  3. Step 3: Cross multiply
    157.43x = 217.23 × 105.09
  4. Step 4: Simplify right side
    157.43x = 22,828.70
  5. Step 5: Solve for x
    x = 22,828.70/157.43
  6. Step 6: Final answer
    x = 145.01

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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.