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Finding the Fourth Proportional to 157.11, 216.77 and 98.16

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Solution

The fourth proportional to 157.11, 216.77 and 98.16 is: 135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.11 : 216.77 = 98.16 : x
  2. Step 2: Convert to fraction form
    157.11/216.77 = 98.16/x
  3. Step 3: Cross multiply
    157.11x = 216.77 × 98.16
  4. Step 4: Simplify right side
    157.11x = 21,276.73
  5. Step 5: Solve for x
    x = 21,276.73/157.11
  6. Step 6: Final answer
    x = 135.43

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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.