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Finding the Fourth Proportional to 128.78, 193.08 and 73.90

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Solution

The fourth proportional to 128.78, 193.08 and 73.90 is: 110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.78 : 193.08 = 73.90 : x
  2. Step 2: Convert to fraction form
    128.78/193.08 = 73.90/x
  3. Step 3: Cross multiply
    128.78x = 193.08 × 73.90
  4. Step 4: Simplify right side
    128.78x = 14,268.61
  5. Step 5: Solve for x
    x = 14,268.61/128.78
  6. Step 6: Final answer
    x = 110.80

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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.