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Finding the Fourth Proportional to 157.73, 217.60 and 105.30

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Solution

The fourth proportional to 157.73, 217.60 and 105.30 is: 145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.73 : 217.60 = 105.30 : x
  2. Step 2: Convert to fraction form
    157.73/217.60 = 105.30/x
  3. Step 3: Cross multiply
    157.73x = 217.60 × 105.30
  4. Step 4: Simplify right side
    157.73x = 22,913.28
  5. Step 5: Solve for x
    x = 22,913.28/157.73
  6. Step 6: Final answer
    x = 145.27

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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.