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Finding the Fourth Proportional to 1.55, 2.14 and 1.20

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Solution

The fourth proportional to 1.55, 2.14 and 1.20 is: 1.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.55 : 2.14 = 1.20 : x
  2. Step 2: Convert to fraction form
    1.55/2.14 = 1.20/x
  3. Step 3: Cross multiply
    1.55x = 2.14 × 1.20
  4. Step 4: Simplify right side
    1.55x = 2.56
  5. Step 5: Solve for x
    x = 2.56/1.55
  6. Step 6: Final answer
    x = 1.65

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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.