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Finding the Fourth Proportional to 66.94, 92.40 and 41.07

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Solution

The fourth proportional to 66.94, 92.40 and 41.07 is: 56.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.94 : 92.40 = 41.07 : x
  2. Step 2: Convert to fraction form
    66.94/92.40 = 41.07/x
  3. Step 3: Cross multiply
    66.94x = 92.40 × 41.07
  4. Step 4: Simplify right side
    66.94x = 3,794.87
  5. Step 5: Solve for x
    x = 3,794.87/66.94
  6. Step 6: Final answer
    x = 56.69

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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.