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Finding the Fourth Proportional to 100.77, 150.94 and 77.77

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Solution

The fourth proportional to 100.77, 150.94 and 77.77 is: 116.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.77 : 150.94 = 77.77 : x
  2. Step 2: Convert to fraction form
    100.77/150.94 = 77.77/x
  3. Step 3: Cross multiply
    100.77x = 150.94 × 77.77
  4. Step 4: Simplify right side
    100.77x = 11,738.60
  5. Step 5: Solve for x
    x = 11,738.60/100.77
  6. Step 6: Final answer
    x = 116.49

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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.