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Finding the Fourth Proportional to 2.53, 3.80 and 1.03

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Solution

The fourth proportional to 2.53, 3.80 and 1.03 is: 1.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.53 : 3.80 = 1.03 : x
  2. Step 2: Convert to fraction form
    2.53/3.80 = 1.03/x
  3. Step 3: Cross multiply
    2.53x = 3.80 × 1.03
  4. Step 4: Simplify right side
    2.53x = 3.91
  5. Step 5: Solve for x
    x = 3.91/2.53
  6. Step 6: Final answer
    x = 1.54

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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.