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Finding the Fourth Proportional to 66.79, 92.22 and 42.27

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Solution

The fourth proportional to 66.79, 92.22 and 42.27 is: 58.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.79 : 92.22 = 42.27 : x
  2. Step 2: Convert to fraction form
    66.79/92.22 = 42.27/x
  3. Step 3: Cross multiply
    66.79x = 92.22 × 42.27
  4. Step 4: Simplify right side
    66.79x = 3,898.14
  5. Step 5: Solve for x
    x = 3,898.14/66.79
  6. Step 6: Final answer
    x = 58.36

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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.