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Finding the Fourth Proportional to 2.98, 4.47 and 1.55

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Solution

The fourth proportional to 2.98, 4.47 and 1.55 is: 2.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.98 : 4.47 = 1.55 : x
  2. Step 2: Convert to fraction form
    2.98/4.47 = 1.55/x
  3. Step 3: Cross multiply
    2.98x = 4.47 × 1.55
  4. Step 4: Simplify right side
    2.98x = 6.94
  5. Step 5: Solve for x
    x = 6.94/2.98
  6. Step 6: Final answer
    x = 2.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.