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Finding the Fourth Proportional to 57.59, 79.41 and 35.74

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Solution

The fourth proportional to 57.59, 79.41 and 35.74 is: 49.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.59 : 79.41 = 35.74 : x
  2. Step 2: Convert to fraction form
    57.59/79.41 = 35.74/x
  3. Step 3: Cross multiply
    57.59x = 79.41 × 35.74
  4. Step 4: Simplify right side
    57.59x = 2,838.11
  5. Step 5: Solve for x
    x = 2,838.11/57.59
  6. Step 6: Final answer
    x = 49.28

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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.