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Finding the Fourth Proportional to 159.06, 238.32 and 104.88

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Solution

The fourth proportional to 159.06, 238.32 and 104.88 is: 157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.06 : 238.32 = 104.88 : x
  2. Step 2: Convert to fraction form
    159.06/238.32 = 104.88/x
  3. Step 3: Cross multiply
    159.06x = 238.32 × 104.88
  4. Step 4: Simplify right side
    159.06x = 24,995.00
  5. Step 5: Solve for x
    x = 24,995.00/159.06
  6. Step 6: Final answer
    x = 157.14

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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.