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Finding the Fourth Proportional to 66.77, 92.33 and 57.65

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Solution

The fourth proportional to 66.77, 92.33 and 57.65 is: 79.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.77 : 92.33 = 57.65 : x
  2. Step 2: Convert to fraction form
    66.77/92.33 = 57.65/x
  3. Step 3: Cross multiply
    66.77x = 92.33 × 57.65
  4. Step 4: Simplify right side
    66.77x = 5,322.54
  5. Step 5: Solve for x
    x = 5,322.54/66.77
  6. Step 6: Final answer
    x = 79.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.