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Finding the Fourth Proportional to 19.86, 29.63 and 19.46

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Solution

The fourth proportional to 19.86, 29.63 and 19.46 is: 29.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.86 : 29.63 = 19.46 : x
  2. Step 2: Convert to fraction form
    19.86/29.63 = 19.46/x
  3. Step 3: Cross multiply
    19.86x = 29.63 × 19.46
  4. Step 4: Simplify right side
    19.86x = 576.35
  5. Step 5: Solve for x
    x = 576.35/19.86
  6. Step 6: Final answer
    x = 29.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.