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Finding the Fourth Proportional to 14.90, 22.38 and 9.83

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Solution

The fourth proportional to 14.90, 22.38 and 9.83 is: 14.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.90 : 22.38 = 9.83 : x
  2. Step 2: Convert to fraction form
    14.90/22.38 = 9.83/x
  3. Step 3: Cross multiply
    14.90x = 22.38 × 9.83
  4. Step 4: Simplify right side
    14.90x = 220.01
  5. Step 5: Solve for x
    x = 220.01/14.90
  6. Step 6: Final answer
    x = 14.77

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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.