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Finding the Fourth Proportional to 147.81, 221.34 and 125.09

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Solution

The fourth proportional to 147.81, 221.34 and 125.09 is: 187.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.81 : 221.34 = 125.09 : x
  2. Step 2: Convert to fraction form
    147.81/221.34 = 125.09/x
  3. Step 3: Cross multiply
    147.81x = 221.34 × 125.09
  4. Step 4: Simplify right side
    147.81x = 27,686.75
  5. Step 5: Solve for x
    x = 27,686.75/147.81
  6. Step 6: Final answer
    x = 187.31

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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.