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Finding the Fourth Proportional to 159.24, 219.75 and 89.31

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Solution

The fourth proportional to 159.24, 219.75 and 89.31 is: 123.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.24 : 219.75 = 89.31 : x
  2. Step 2: Convert to fraction form
    159.24/219.75 = 89.31/x
  3. Step 3: Cross multiply
    159.24x = 219.75 × 89.31
  4. Step 4: Simplify right side
    159.24x = 19,625.87
  5. Step 5: Solve for x
    x = 19,625.87/159.24
  6. Step 6: Final answer
    x = 123.25

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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.