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Finding the Fourth Proportional to 113.95, 157.26 and 97.57

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Solution

The fourth proportional to 113.95, 157.26 and 97.57 is: 134.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.95 : 157.26 = 97.57 : x
  2. Step 2: Convert to fraction form
    113.95/157.26 = 97.57/x
  3. Step 3: Cross multiply
    113.95x = 157.26 × 97.57
  4. Step 4: Simplify right side
    113.95x = 15,343.86
  5. Step 5: Solve for x
    x = 15,343.86/113.95
  6. Step 6: Final answer
    x = 134.65

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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.