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Finding the Fourth Proportional to 147.94, 221.96 and 109.74

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Solution

The fourth proportional to 147.94, 221.96 and 109.74 is: 164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.94 : 221.96 = 109.74 : x
  2. Step 2: Convert to fraction form
    147.94/221.96 = 109.74/x
  3. Step 3: Cross multiply
    147.94x = 221.96 × 109.74
  4. Step 4: Simplify right side
    147.94x = 24,357.34
  5. Step 5: Solve for x
    x = 24,357.34/147.94
  6. Step 6: Final answer
    x = 164.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.