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Finding the Fourth Proportional to 159.11, 238.59 and 56.33

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Solution

The fourth proportional to 159.11, 238.59 and 56.33 is: 84.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.11 : 238.59 = 56.33 : x
  2. Step 2: Convert to fraction form
    159.11/238.59 = 56.33/x
  3. Step 3: Cross multiply
    159.11x = 238.59 × 56.33
  4. Step 4: Simplify right side
    159.11x = 13,438.58
  5. Step 5: Solve for x
    x = 13,438.58/159.11
  6. Step 6: Final answer
    x = 84.46

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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.