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Finding the Fourth Proportional to 1.82, 2.52 and 1.02

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Solution

The fourth proportional to 1.82, 2.52 and 1.02 is: 1.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.82 : 2.52 = 1.02 : x
  2. Step 2: Convert to fraction form
    1.82/2.52 = 1.02/x
  3. Step 3: Cross multiply
    1.82x = 2.52 × 1.02
  4. Step 4: Simplify right side
    1.82x = 2.56
  5. Step 5: Solve for x
    x = 2.56/1.82
  6. Step 6: Final answer
    x = 1.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.