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Finding the Fourth Proportional to 57.83, 79.74 and 37.10

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Solution

The fourth proportional to 57.83, 79.74 and 37.10 is: 51.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.83 : 79.74 = 37.10 : x
  2. Step 2: Convert to fraction form
    57.83/79.74 = 37.10/x
  3. Step 3: Cross multiply
    57.83x = 79.74 × 37.10
  4. Step 4: Simplify right side
    57.83x = 2,958.55
  5. Step 5: Solve for x
    x = 2,958.55/57.83
  6. Step 6: Final answer
    x = 51.16

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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.