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Finding the Fourth Proportional to 3.34, 5.02 and 1.56

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Solution

The fourth proportional to 3.34, 5.02 and 1.56 is: 2.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.34 : 5.02 = 1.56 : x
  2. Step 2: Convert to fraction form
    3.34/5.02 = 1.56/x
  3. Step 3: Cross multiply
    3.34x = 5.02 × 1.56
  4. Step 4: Simplify right side
    3.34x = 7.83
  5. Step 5: Solve for x
    x = 7.83/3.34
  6. Step 6: Final answer
    x = 2.34

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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.