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Finding the Fourth Proportional to 128.77, 193.06 and 63.73

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Solution

The fourth proportional to 128.77, 193.06 and 63.73 is: 95.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.77 : 193.06 = 63.73 : x
  2. Step 2: Convert to fraction form
    128.77/193.06 = 63.73/x
  3. Step 3: Cross multiply
    128.77x = 193.06 × 63.73
  4. Step 4: Simplify right side
    128.77x = 12,303.67
  5. Step 5: Solve for x
    x = 12,303.67/128.77
  6. Step 6: Final answer
    x = 95.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.