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Finding the Fourth Proportional to 92.38, 127.40 and 67.80

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Solution

The fourth proportional to 92.38, 127.40 and 67.80 is: 93.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.38 : 127.40 = 67.80 : x
  2. Step 2: Convert to fraction form
    92.38/127.40 = 67.80/x
  3. Step 3: Cross multiply
    92.38x = 127.40 × 67.80
  4. Step 4: Simplify right side
    92.38x = 8,637.72
  5. Step 5: Solve for x
    x = 8,637.72/92.38
  6. Step 6: Final answer
    x = 93.50

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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.