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Finding the Fourth Proportional to 92.31, 127.27 and 64.62

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Solution

The fourth proportional to 92.31, 127.27 and 64.62 is: 89.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.31 : 127.27 = 64.62 : x
  2. Step 2: Convert to fraction form
    92.31/127.27 = 64.62/x
  3. Step 3: Cross multiply
    92.31x = 127.27 × 64.62
  4. Step 4: Simplify right side
    92.31x = 8,224.19
  5. Step 5: Solve for x
    x = 8,224.19/92.31
  6. Step 6: Final answer
    x = 89.09

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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.