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Finding the Fourth Proportional to 157.37, 216.83 and 113.63

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Solution

The fourth proportional to 157.37, 216.83 and 113.63 is: 156.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.37 : 216.83 = 113.63 : x
  2. Step 2: Convert to fraction form
    157.37/216.83 = 113.63/x
  3. Step 3: Cross multiply
    157.37x = 216.83 × 113.63
  4. Step 4: Simplify right side
    157.37x = 24,636.74
  5. Step 5: Solve for x
    x = 24,636.74/157.37
  6. Step 6: Final answer
    x = 156.56

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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.