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Finding the Fourth Proportional to 19.66, 29.50 and 7.64

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Solution

The fourth proportional to 19.66, 29.50 and 7.64 is: 11.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.66 : 29.50 = 7.64 : x
  2. Step 2: Convert to fraction form
    19.66/29.50 = 7.64/x
  3. Step 3: Cross multiply
    19.66x = 29.50 × 7.64
  4. Step 4: Simplify right side
    19.66x = 225.38
  5. Step 5: Solve for x
    x = 225.38/19.66
  6. Step 6: Final answer
    x = 11.46

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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.