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Finding the Fourth Proportional to 19.66, 29.53 and 11.65

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Solution

The fourth proportional to 19.66, 29.53 and 11.65 is: 17.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.66 : 29.53 = 11.65 : x
  2. Step 2: Convert to fraction form
    19.66/29.53 = 11.65/x
  3. Step 3: Cross multiply
    19.66x = 29.53 × 11.65
  4. Step 4: Simplify right side
    19.66x = 344.02
  5. Step 5: Solve for x
    x = 344.02/19.66
  6. Step 6: Final answer
    x = 17.50

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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.