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Finding the Fourth Proportional to 99.50, 149.09 and 53.78

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Solution

The fourth proportional to 99.50, 149.09 and 53.78 is: 80.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.50 : 149.09 = 53.78 : x
  2. Step 2: Convert to fraction form
    99.50/149.09 = 53.78/x
  3. Step 3: Cross multiply
    99.50x = 149.09 × 53.78
  4. Step 4: Simplify right side
    99.50x = 8,017.05
  5. Step 5: Solve for x
    x = 8,017.05/99.50
  6. Step 6: Final answer
    x = 80.58

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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.