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Finding the Fourth Proportional to 1.64, 2.46 and 0.75

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Solution

The fourth proportional to 1.64, 2.46 and 0.75 is: 1.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.64 : 2.46 = 0.75 : x
  2. Step 2: Convert to fraction form
    1.64/2.46 = 0.75/x
  3. Step 3: Cross multiply
    1.64x = 2.46 × 0.75
  4. Step 4: Simplify right side
    1.64x = 1.85
  5. Step 5: Solve for x
    x = 1.85/1.64
  6. Step 6: Final answer
    x = 1.13

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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.