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Finding the Fourth Proportional to 113.86, 157.24 and 97.39

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Solution

The fourth proportional to 113.86, 157.24 and 97.39 is: 134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.86 : 157.24 = 97.39 : x
  2. Step 2: Convert to fraction form
    113.86/157.24 = 97.39/x
  3. Step 3: Cross multiply
    113.86x = 157.24 × 97.39
  4. Step 4: Simplify right side
    113.86x = 15,313.60
  5. Step 5: Solve for x
    x = 15,313.60/113.86
  6. Step 6: Final answer
    x = 134.50

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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.