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Finding the Fourth Proportional to 159.98, 220.78 and 97.84

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Solution

The fourth proportional to 159.98, 220.78 and 97.84 is: 135.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.98 : 220.78 = 97.84 : x
  2. Step 2: Convert to fraction form
    159.98/220.78 = 97.84/x
  3. Step 3: Cross multiply
    159.98x = 220.78 × 97.84
  4. Step 4: Simplify right side
    159.98x = 21,601.51
  5. Step 5: Solve for x
    x = 21,601.51/159.98
  6. Step 6: Final answer
    x = 135.03

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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.