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Finding the Fourth Proportional to 57.95, 79.90 and 46.28

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Solution

The fourth proportional to 57.95, 79.90 and 46.28 is: 63.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.95 : 79.90 = 46.28 : x
  2. Step 2: Convert to fraction form
    57.95/79.90 = 46.28/x
  3. Step 3: Cross multiply
    57.95x = 79.90 × 46.28
  4. Step 4: Simplify right side
    57.95x = 3,697.77
  5. Step 5: Solve for x
    x = 3,697.77/57.95
  6. Step 6: Final answer
    x = 63.81

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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.