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Finding the Fourth Proportional to 147.42, 221.16 and 44.75

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Solution

The fourth proportional to 147.42, 221.16 and 44.75 is: 67.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.42 : 221.16 = 44.75 : x
  2. Step 2: Convert to fraction form
    147.42/221.16 = 44.75/x
  3. Step 3: Cross multiply
    147.42x = 221.16 × 44.75
  4. Step 4: Simplify right side
    147.42x = 9,897.63
  5. Step 5: Solve for x
    x = 9,897.63/147.42
  6. Step 6: Final answer
    x = 67.14

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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.