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Finding the Fourth Proportional to 57.05, 78.66 and 46.65

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Solution

The fourth proportional to 57.05, 78.66 and 46.65 is: 64.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.05 : 78.66 = 46.65 : x
  2. Step 2: Convert to fraction form
    57.05/78.66 = 46.65/x
  3. Step 3: Cross multiply
    57.05x = 78.66 × 46.65
  4. Step 4: Simplify right side
    57.05x = 3,669.49
  5. Step 5: Solve for x
    x = 3,669.49/57.05
  6. Step 6: Final answer
    x = 64.32

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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.