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Finding the Fourth Proportional to 1.60, 2.39 and 1.22

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Solution

The fourth proportional to 1.60, 2.39 and 1.22 is: 1.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.60 : 2.39 = 1.22 : x
  2. Step 2: Convert to fraction form
    1.60/2.39 = 1.22/x
  3. Step 3: Cross multiply
    1.60x = 2.39 × 1.22
  4. Step 4: Simplify right side
    1.60x = 2.90
  5. Step 5: Solve for x
    x = 2.90/1.60
  6. Step 6: Final answer
    x = 1.82

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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.