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Finding the Fourth Proportional to 75.94, 104.69 and 55.18

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Solution

The fourth proportional to 75.94, 104.69 and 55.18 is: 76.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.94 : 104.69 = 55.18 : x
  2. Step 2: Convert to fraction form
    75.94/104.69 = 55.18/x
  3. Step 3: Cross multiply
    75.94x = 104.69 × 55.18
  4. Step 4: Simplify right side
    75.94x = 5,777.06
  5. Step 5: Solve for x
    x = 5,777.06/75.94
  6. Step 6: Final answer
    x = 76.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.