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Finding the Fourth Proportional to 157.89, 217.80 and 105.42

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Solution

The fourth proportional to 157.89, 217.80 and 105.42 is: 145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.89 : 217.80 = 105.42 : x
  2. Step 2: Convert to fraction form
    157.89/217.80 = 105.42/x
  3. Step 3: Cross multiply
    157.89x = 217.80 × 105.42
  4. Step 4: Simplify right side
    157.89x = 22,960.48
  5. Step 5: Solve for x
    x = 22,960.48/157.89
  6. Step 6: Final answer
    x = 145.42

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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.