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Finding the Fourth Proportional to 1.19, 1.64 and 0.83

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Solution

The fourth proportional to 1.19, 1.64 and 0.83 is: 1.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.19 : 1.64 = 0.83 : x
  2. Step 2: Convert to fraction form
    1.19/1.64 = 0.83/x
  3. Step 3: Cross multiply
    1.19x = 1.64 × 0.83
  4. Step 4: Simplify right side
    1.19x = 1.36
  5. Step 5: Solve for x
    x = 1.36/1.19
  6. Step 6: Final answer
    x = 1.14

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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.