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Finding the Fourth Proportional to 159.03, 238.66 and 82.06

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Solution

The fourth proportional to 159.03, 238.66 and 82.06 is: 123.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.03 : 238.66 = 82.06 : x
  2. Step 2: Convert to fraction form
    159.03/238.66 = 82.06/x
  3. Step 3: Cross multiply
    159.03x = 238.66 × 82.06
  4. Step 4: Simplify right side
    159.03x = 19,583.25
  5. Step 5: Solve for x
    x = 19,583.25/159.03
  6. Step 6: Final answer
    x = 123.15

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