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Finding the Fourth Proportional to 3.34, 5.02 and 1.84

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Solution

The fourth proportional to 3.34, 5.02 and 1.84 is: 2.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.34 : 5.02 = 1.84 : x
  2. Step 2: Convert to fraction form
    3.34/5.02 = 1.84/x
  3. Step 3: Cross multiply
    3.34x = 5.02 × 1.84
  4. Step 4: Simplify right side
    3.34x = 9.22
  5. Step 5: Solve for x
    x = 9.22/3.34
  6. Step 6: Final answer
    x = 2.76

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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.