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Finding the Fourth Proportional to 157.84, 217.62 and 106

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Solution

The fourth proportional to 157.84, 217.62 and 106 is: 146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.84 : 217.62 = 106 : x
  2. Step 2: Convert to fraction form
    157.84/217.62 = 106/x
  3. Step 3: Cross multiply
    157.84x = 217.62 × 106
  4. Step 4: Simplify right side
    157.84x = 23,067.72
  5. Step 5: Solve for x
    x = 23,067.72/157.84
  6. Step 6: Final answer
    x = 146.15

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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.