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Finding the Fourth Proportional to 1.64, 2.22 and 1.64

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Solution

The fourth proportional to 1.64, 2.22 and 1.64 is: 2.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.64 : 2.22 = 1.64 : x
  2. Step 2: Convert to fraction form
    1.64/2.22 = 1.64/x
  3. Step 3: Cross multiply
    1.64x = 2.22 × 1.64
  4. Step 4: Simplify right side
    1.64x = 3.64
  5. Step 5: Solve for x
    x = 3.64/1.64
  6. Step 6: Final answer
    x = 2.22

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.