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Finding the Fourth Proportional to 157.38, 217.20 and 113.77

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Solution

The fourth proportional to 157.38, 217.20 and 113.77 is: 157.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.38 : 217.20 = 113.77 : x
  2. Step 2: Convert to fraction form
    157.38/217.20 = 113.77/x
  3. Step 3: Cross multiply
    157.38x = 217.20 × 113.77
  4. Step 4: Simplify right side
    157.38x = 24,710.84
  5. Step 5: Solve for x
    x = 24,710.84/157.38
  6. Step 6: Final answer
    x = 157.01

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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.