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Finding the Fourth Proportional to 99.78, 149.90 and 77.00

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Solution

The fourth proportional to 99.78, 149.90 and 77.00 is: 115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.78 : 149.90 = 77.00 : x
  2. Step 2: Convert to fraction form
    99.78/149.90 = 77.00/x
  3. Step 3: Cross multiply
    99.78x = 149.90 × 77.00
  4. Step 4: Simplify right side
    99.78x = 11,542.44
  5. Step 5: Solve for x
    x = 11,542.44/99.78
  6. Step 6: Final answer
    x = 115.68

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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.