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Finding the Fourth Proportional to 67.16, 92.70 and 42.27

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Solution

The fourth proportional to 67.16, 92.70 and 42.27 is: 58.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.16 : 92.70 = 42.27 : x
  2. Step 2: Convert to fraction form
    67.16/92.70 = 42.27/x
  3. Step 3: Cross multiply
    67.16x = 92.70 × 42.27
  4. Step 4: Simplify right side
    67.16x = 3,918.43
  5. Step 5: Solve for x
    x = 3,918.43/67.16
  6. Step 6: Final answer
    x = 58.35

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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.