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Finding the Fourth Proportional to 159.05, 238.63 and 82.03

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Solution

The fourth proportional to 159.05, 238.63 and 82.03 is: 123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.05 : 238.63 = 82.03 : x
  2. Step 2: Convert to fraction form
    159.05/238.63 = 82.03/x
  3. Step 3: Cross multiply
    159.05x = 238.63 × 82.03
  4. Step 4: Simplify right side
    159.05x = 19,574.82
  5. Step 5: Solve for x
    x = 19,574.82/159.05
  6. Step 6: Final answer
    x = 123.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.