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Finding the Fourth Proportional to 147.93, 221.86 and 45.23

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Solution

The fourth proportional to 147.93, 221.86 and 45.23 is: 67.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.93 : 221.86 = 45.23 : x
  2. Step 2: Convert to fraction form
    147.93/221.86 = 45.23/x
  3. Step 3: Cross multiply
    147.93x = 221.86 × 45.23
  4. Step 4: Simplify right side
    147.93x = 10,033.42
  5. Step 5: Solve for x
    x = 10,033.42/147.93
  6. Step 6: Final answer
    x = 67.83

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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.