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Finding the Fourth Proportional to 19.65, 29.46 and 11.64

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Solution

The fourth proportional to 19.65, 29.46 and 11.64 is: 17.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.65 : 29.46 = 11.64 : x
  2. Step 2: Convert to fraction form
    19.65/29.46 = 11.64/x
  3. Step 3: Cross multiply
    19.65x = 29.46 × 11.64
  4. Step 4: Simplify right side
    19.65x = 342.91
  5. Step 5: Solve for x
    x = 342.91/19.65
  6. Step 6: Final answer
    x = 17.45

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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.