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Finding the Fourth Proportional to 157.80, 217.71 and 98.83

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Solution

The fourth proportional to 157.80, 217.71 and 98.83 is: 136.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.80 : 217.71 = 98.83 : x
  2. Step 2: Convert to fraction form
    157.80/217.71 = 98.83/x
  3. Step 3: Cross multiply
    157.80x = 217.71 × 98.83
  4. Step 4: Simplify right side
    157.80x = 21,516.28
  5. Step 5: Solve for x
    x = 21,516.28/157.80
  6. Step 6: Final answer
    x = 136.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.