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Finding the Fourth Proportional to 128.77, 193.12 and 77.37

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Solution

The fourth proportional to 128.77, 193.12 and 77.37 is: 116.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.77 : 193.12 = 77.37 : x
  2. Step 2: Convert to fraction form
    128.77/193.12 = 77.37/x
  3. Step 3: Cross multiply
    128.77x = 193.12 × 77.37
  4. Step 4: Simplify right side
    128.77x = 14,941.69
  5. Step 5: Solve for x
    x = 14,941.69/128.77
  6. Step 6: Final answer
    x = 116.03

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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.