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Finding the Fourth Proportional to 1.49, 2.04 and 1.46

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Solution

The fourth proportional to 1.49, 2.04 and 1.46 is: 2.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.49 : 2.04 = 1.46 : x
  2. Step 2: Convert to fraction form
    1.49/2.04 = 1.46/x
  3. Step 3: Cross multiply
    1.49x = 2.04 × 1.46
  4. Step 4: Simplify right side
    1.49x = 2.98
  5. Step 5: Solve for x
    x = 2.98/1.49
  6. Step 6: Final answer
    x = 2.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.