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Finding the Fourth Proportional to 113.98, 157.31 and 69.72

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Solution

The fourth proportional to 113.98, 157.31 and 69.72 is: 96.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.98 : 157.31 = 69.72 : x
  2. Step 2: Convert to fraction form
    113.98/157.31 = 69.72/x
  3. Step 3: Cross multiply
    113.98x = 157.31 × 69.72
  4. Step 4: Simplify right side
    113.98x = 10,966.87
  5. Step 5: Solve for x
    x = 10,966.87/113.98
  6. Step 6: Final answer
    x = 96.22

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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.