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Finding the Fourth Proportional to 147.94, 221.30 and 106.55

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Solution

The fourth proportional to 147.94, 221.30 and 106.55 is: 159.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.94 : 221.30 = 106.55 : x
  2. Step 2: Convert to fraction form
    147.94/221.30 = 106.55/x
  3. Step 3: Cross multiply
    147.94x = 221.30 × 106.55
  4. Step 4: Simplify right side
    147.94x = 23,579.11
  5. Step 5: Solve for x
    x = 23,579.11/147.94
  6. Step 6: Final answer
    x = 159.39

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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.