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Finding the Fourth Proportional to 75.59, 104.46 and 57.14

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Solution

The fourth proportional to 75.59, 104.46 and 57.14 is: 78.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.59 : 104.46 = 57.14 : x
  2. Step 2: Convert to fraction form
    75.59/104.46 = 57.14/x
  3. Step 3: Cross multiply
    75.59x = 104.46 × 57.14
  4. Step 4: Simplify right side
    75.59x = 5,968.32
  5. Step 5: Solve for x
    x = 5,968.32/75.59
  6. Step 6: Final answer
    x = 78.95

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Why These Related Problems?

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