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Finding the Fourth Proportional to 159.84, 220.98 and 123.12

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Solution

The fourth proportional to 159.84, 220.98 and 123.12 is: 170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.84 : 220.98 = 123.12 : x
  2. Step 2: Convert to fraction form
    159.84/220.98 = 123.12/x
  3. Step 3: Cross multiply
    159.84x = 220.98 × 123.12
  4. Step 4: Simplify right side
    159.84x = 27,205.95
  5. Step 5: Solve for x
    x = 27,205.95/159.84
  6. Step 6: Final answer
    x = 170.21

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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.