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Finding the Fourth Proportional to 158.54, 237.89 and 81.51

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Solution

The fourth proportional to 158.54, 237.89 and 81.51 is: 122.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.54 : 237.89 = 81.51 : x
  2. Step 2: Convert to fraction form
    158.54/237.89 = 81.51/x
  3. Step 3: Cross multiply
    158.54x = 237.89 × 81.51
  4. Step 4: Simplify right side
    158.54x = 19,389.27
  5. Step 5: Solve for x
    x = 19,389.27/158.54
  6. Step 6: Final answer
    x = 122.30

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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.