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Finding the Fourth Proportional to 57.65, 86.58 and 51.05

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Solution

The fourth proportional to 57.65, 86.58 and 51.05 is: 76.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.65 : 86.58 = 51.05 : x
  2. Step 2: Convert to fraction form
    57.65/86.58 = 51.05/x
  3. Step 3: Cross multiply
    57.65x = 86.58 × 51.05
  4. Step 4: Simplify right side
    57.65x = 4,420.13
  5. Step 5: Solve for x
    x = 4,420.13/57.65
  6. Step 6: Final answer
    x = 76.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.