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Finding the Fourth Proportional to 158.69, 238.05 and 61.20

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Solution

The fourth proportional to 158.69, 238.05 and 61.20 is: 91.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.69 : 238.05 = 61.20 : x
  2. Step 2: Convert to fraction form
    158.69/238.05 = 61.20/x
  3. Step 3: Cross multiply
    158.69x = 238.05 × 61.20
  4. Step 4: Simplify right side
    158.69x = 14,568.66
  5. Step 5: Solve for x
    x = 14,568.66/158.69
  6. Step 6: Final answer
    x = 91.81

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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.