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Finding the Fourth Proportional to 92.26, 127.26 and 59.02

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Solution

The fourth proportional to 92.26, 127.26 and 59.02 is: 81.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.26 : 127.26 = 59.02 : x
  2. Step 2: Convert to fraction form
    92.26/127.26 = 59.02/x
  3. Step 3: Cross multiply
    92.26x = 127.26 × 59.02
  4. Step 4: Simplify right side
    92.26x = 7,510.59
  5. Step 5: Solve for x
    x = 7,510.59/92.26
  6. Step 6: Final answer
    x = 81.41

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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.