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Finding the Fourth Proportional to 148, 204.16 and 92.72

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Solution

The fourth proportional to 148, 204.16 and 92.72 is: 127.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    148 : 204.16 = 92.72 : x
  2. Step 2: Convert to fraction form
    148/204.16 = 92.72/x
  3. Step 3: Cross multiply
    148x = 204.16 × 92.72
  4. Step 4: Simplify right side
    148x = 18,929.72
  5. Step 5: Solve for x
    x = 18,929.72/148
  6. Step 6: Final answer
    x = 127.90

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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.