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Finding the Fourth Proportional to 1.64, 2.46 and 0.51

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Solution

The fourth proportional to 1.64, 2.46 and 0.51 is: 0.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.64 : 2.46 = 0.51 : x
  2. Step 2: Convert to fraction form
    1.64/2.46 = 0.51/x
  3. Step 3: Cross multiply
    1.64x = 2.46 × 0.51
  4. Step 4: Simplify right side
    1.64x = 1.27
  5. Step 5: Solve for x
    x = 1.27/1.64
  6. Step 6: Final answer
    x = 0.77

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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.