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Finding the Fourth Proportional to 76.72, 105.90 and 57.05

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Solution

The fourth proportional to 76.72, 105.90 and 57.05 is: 78.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.72 : 105.90 = 57.05 : x
  2. Step 2: Convert to fraction form
    76.72/105.90 = 57.05/x
  3. Step 3: Cross multiply
    76.72x = 105.90 × 57.05
  4. Step 4: Simplify right side
    76.72x = 6,041.60
  5. Step 5: Solve for x
    x = 6,041.60/76.72
  6. Step 6: Final answer
    x = 78.75

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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.