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Finding the Fourth Proportional to 157.25, 216.86 and 98.16

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Solution

The fourth proportional to 157.25, 216.86 and 98.16 is: 135.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.25 : 216.86 = 98.16 : x
  2. Step 2: Convert to fraction form
    157.25/216.86 = 98.16/x
  3. Step 3: Cross multiply
    157.25x = 216.86 × 98.16
  4. Step 4: Simplify right side
    157.25x = 21,286.98
  5. Step 5: Solve for x
    x = 21,286.98/157.25
  6. Step 6: Final answer
    x = 135.37

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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.