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Finding the Fourth Proportional to 159.39, 219.96 and 89.45

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Solution

The fourth proportional to 159.39, 219.96 and 89.45 is: 123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.39 : 219.96 = 89.45 : x
  2. Step 2: Convert to fraction form
    159.39/219.96 = 89.45/x
  3. Step 3: Cross multiply
    159.39x = 219.96 × 89.45
  4. Step 4: Simplify right side
    159.39x = 19,674.32
  5. Step 5: Solve for x
    x = 19,674.32/159.39
  6. Step 6: Final answer
    x = 123.44

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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.