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Finding the Fourth Proportional to 100.06, 149.89 and 48.55

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Solution

The fourth proportional to 100.06, 149.89 and 48.55 is: 72.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.06 : 149.89 = 48.55 : x
  2. Step 2: Convert to fraction form
    100.06/149.89 = 48.55/x
  3. Step 3: Cross multiply
    100.06x = 149.89 × 48.55
  4. Step 4: Simplify right side
    100.06x = 7,277.16
  5. Step 5: Solve for x
    x = 7,277.16/100.06
  6. Step 6: Final answer
    x = 72.73

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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.