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Finding the Fourth Proportional to 3.56, 5.34 and 1.56

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Solution

The fourth proportional to 3.56, 5.34 and 1.56 is: 2.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.56 : 5.34 = 1.56 : x
  2. Step 2: Convert to fraction form
    3.56/5.34 = 1.56/x
  3. Step 3: Cross multiply
    3.56x = 5.34 × 1.56
  4. Step 4: Simplify right side
    3.56x = 8.30
  5. Step 5: Solve for x
    x = 8.30/3.56
  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.