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Finding the Fourth Proportional to 113.97, 157.29 and 77.21

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Solution

The fourth proportional to 113.97, 157.29 and 77.21 is: 106.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.97 : 157.29 = 77.21 : x
  2. Step 2: Convert to fraction form
    113.97/157.29 = 77.21/x
  3. Step 3: Cross multiply
    113.97x = 157.29 × 77.21
  4. Step 4: Simplify right side
    113.97x = 12,144.36
  5. Step 5: Solve for x
    x = 12,144.36/113.97
  6. Step 6: Final answer
    x = 106.56

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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.