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Finding the Fourth Proportional to 1.80, 2.71 and 1.05

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Solution

The fourth proportional to 1.80, 2.71 and 1.05 is: 1.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.80 : 2.71 = 1.05 : x
  2. Step 2: Convert to fraction form
    1.80/2.71 = 1.05/x
  3. Step 3: Cross multiply
    1.80x = 2.71 × 1.05
  4. Step 4: Simplify right side
    1.80x = 2.84
  5. Step 5: Solve for x
    x = 2.84/1.80
  6. Step 6: Final answer
    x = 1.58

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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.