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Finding the Fourth Proportional to 147.03, 220.14 and 111.12

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Solution

The fourth proportional to 147.03, 220.14 and 111.12 is: 166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.03 : 220.14 = 111.12 : x
  2. Step 2: Convert to fraction form
    147.03/220.14 = 111.12/x
  3. Step 3: Cross multiply
    147.03x = 220.14 × 111.12
  4. Step 4: Simplify right side
    147.03x = 24,461.96
  5. Step 5: Solve for x
    x = 24,461.96/147.03
  6. Step 6: Final answer
    x = 166.37

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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.