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Finding the Fourth Proportional to 147.37, 221.06 and 44.64

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Solution

The fourth proportional to 147.37, 221.06 and 44.64 is: 66.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.37 : 221.06 = 44.64 : x
  2. Step 2: Convert to fraction form
    147.37/221.06 = 44.64/x
  3. Step 3: Cross multiply
    147.37x = 221.06 × 44.64
  4. Step 4: Simplify right side
    147.37x = 9,868.12
  5. Step 5: Solve for x
    x = 9,868.12/147.37
  6. Step 6: Final answer
    x = 66.96

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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.