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Finding the Fourth Proportional to 92.24, 127.33 and 53.42

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Solution

The fourth proportional to 92.24, 127.33 and 53.42 is: 73.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.24 : 127.33 = 53.42 : x
  2. Step 2: Convert to fraction form
    92.24/127.33 = 53.42/x
  3. Step 3: Cross multiply
    92.24x = 127.33 × 53.42
  4. Step 4: Simplify right side
    92.24x = 6,801.33
  5. Step 5: Solve for x
    x = 6,801.33/92.24
  6. Step 6: Final answer
    x = 73.74

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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.