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Finding the Fourth Proportional to 22.99, 31.72 and 16.83

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Solution

The fourth proportional to 22.99, 31.72 and 16.83 is: 23.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.99 : 31.72 = 16.83 : x
  2. Step 2: Convert to fraction form
    22.99/31.72 = 16.83/x
  3. Step 3: Cross multiply
    22.99x = 31.72 × 16.83
  4. Step 4: Simplify right side
    22.99x = 533.81
  5. Step 5: Solve for x
    x = 533.81/22.99
  6. Step 6: Final answer
    x = 23.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.