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Finding the Fourth Proportional to 157.63, 217.34 and 113.95

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Solution

The fourth proportional to 157.63, 217.34 and 113.95 is: 157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.63 : 217.34 = 113.95 : x
  2. Step 2: Convert to fraction form
    157.63/217.34 = 113.95/x
  3. Step 3: Cross multiply
    157.63x = 217.34 × 113.95
  4. Step 4: Simplify right side
    157.63x = 24,765.32
  5. Step 5: Solve for x
    x = 24,765.32/157.63
  6. Step 6: Final answer
    x = 157.11

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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.