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Finding the Fourth Proportional to 157.77, 217.70 and 98.80

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Solution

The fourth proportional to 157.77, 217.70 and 98.80 is: 136.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.77 : 217.70 = 98.80 : x
  2. Step 2: Convert to fraction form
    157.77/217.70 = 98.80/x
  3. Step 3: Cross multiply
    157.77x = 217.70 × 98.80
  4. Step 4: Simplify right side
    157.77x = 21,508.76
  5. Step 5: Solve for x
    x = 21,508.76/157.77
  6. Step 6: Final answer
    x = 136.33

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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.