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Finding the Fourth Proportional to 2.03, 3.05 and 0.53

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Solution

The fourth proportional to 2.03, 3.05 and 0.53 is: 0.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.03 : 3.05 = 0.53 : x
  2. Step 2: Convert to fraction form
    2.03/3.05 = 0.53/x
  3. Step 3: Cross multiply
    2.03x = 3.05 × 0.53
  4. Step 4: Simplify right side
    2.03x = 1.61
  5. Step 5: Solve for x
    x = 1.61/2.03
  6. Step 6: Final answer
    x = 0.79

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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.