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Finding the Fourth Proportional to 92.25, 127.31 and 52.91

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Solution

The fourth proportional to 92.25, 127.31 and 52.91 is: 73.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.25 : 127.31 = 52.91 : x
  2. Step 2: Convert to fraction form
    92.25/127.31 = 52.91/x
  3. Step 3: Cross multiply
    92.25x = 127.31 × 52.91
  4. Step 4: Simplify right side
    92.25x = 6,735.07
  5. Step 5: Solve for x
    x = 6,735.07/92.25
  6. Step 6: Final answer
    x = 73.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.