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Finding the Fourth Proportional to 75.62, 104.44 and 57.95

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Solution

The fourth proportional to 75.62, 104.44 and 57.95 is: 80.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.62 : 104.44 = 57.95 : x
  2. Step 2: Convert to fraction form
    75.62/104.44 = 57.95/x
  3. Step 3: Cross multiply
    75.62x = 104.44 × 57.95
  4. Step 4: Simplify right side
    75.62x = 6,051.63
  5. Step 5: Solve for x
    x = 6,051.63/75.62
  6. Step 6: Final answer
    x = 80.02

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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.