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Finding the Fourth Proportional to 57.08, 78.74 and 42.58

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Solution

The fourth proportional to 57.08, 78.74 and 42.58 is: 58.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.08 : 78.74 = 42.58 : x
  2. Step 2: Convert to fraction form
    57.08/78.74 = 42.58/x
  3. Step 3: Cross multiply
    57.08x = 78.74 × 42.58
  4. Step 4: Simplify right side
    57.08x = 3,352.75
  5. Step 5: Solve for x
    x = 3,352.75/57.08
  6. Step 6: Final answer
    x = 58.74

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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.