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Finding the Fourth Proportional to 147.94, 204.19 and 92.64

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Solution

The fourth proportional to 147.94, 204.19 and 92.64 is: 127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.94 : 204.19 = 92.64 : x
  2. Step 2: Convert to fraction form
    147.94/204.19 = 92.64/x
  3. Step 3: Cross multiply
    147.94x = 204.19 × 92.64
  4. Step 4: Simplify right side
    147.94x = 18,915.14
  5. Step 5: Solve for x
    x = 18,915.14/147.94
  6. Step 6: Final answer
    x = 127.86

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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.