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Finding the Fourth Proportional to 66.87, 92.23 and 41.98

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Solution

The fourth proportional to 66.87, 92.23 and 41.98 is: 57.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.87 : 92.23 = 41.98 : x
  2. Step 2: Convert to fraction form
    66.87/92.23 = 41.98/x
  3. Step 3: Cross multiply
    66.87x = 92.23 × 41.98
  4. Step 4: Simplify right side
    66.87x = 3,871.81
  5. Step 5: Solve for x
    x = 3,871.81/66.87
  6. Step 6: Final answer
    x = 57.90

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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.