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Finding the Fourth Proportional to 1.09, 1.64 and 0.50

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Solution

The fourth proportional to 1.09, 1.64 and 0.50 is: 0.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.09 : 1.64 = 0.50 : x
  2. Step 2: Convert to fraction form
    1.09/1.64 = 0.50/x
  3. Step 3: Cross multiply
    1.09x = 1.64 × 0.50
  4. Step 4: Simplify right side
    1.09x = 0.82
  5. Step 5: Solve for x
    x = 0.82/1.09
  6. Step 6: Final answer
    x = 0.75

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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.