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Finding the Fourth Proportional to 159.10, 238.35 and 112.66

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Solution

The fourth proportional to 159.10, 238.35 and 112.66 is: 168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.10 : 238.35 = 112.66 : x
  2. Step 2: Convert to fraction form
    159.10/238.35 = 112.66/x
  3. Step 3: Cross multiply
    159.10x = 238.35 × 112.66
  4. Step 4: Simplify right side
    159.10x = 26,852.51
  5. Step 5: Solve for x
    x = 26,852.51/159.10
  6. Step 6: Final answer
    x = 168.78

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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.