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Finding the Fourth Proportional to 148.10, 204.41 and 92.80

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Solution

The fourth proportional to 148.10, 204.41 and 92.80 is: 128.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.10 : 204.41 = 92.80 : x
  2. Step 2: Convert to fraction form
    148.10/204.41 = 92.80/x
  3. Step 3: Cross multiply
    148.10x = 204.41 × 92.80
  4. Step 4: Simplify right side
    148.10x = 18,969.02
  5. Step 5: Solve for x
    x = 18,969.02/148.10
  6. Step 6: Final answer
    x = 128.08

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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.