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Finding the Fourth Proportional to 22.15, 30.53 and 16.69

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Solution

The fourth proportional to 22.15, 30.53 and 16.69 is: 22.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.15 : 30.53 = 16.69 : x
  2. Step 2: Convert to fraction form
    22.15/30.53 = 16.69/x
  3. Step 3: Cross multiply
    22.15x = 30.53 × 16.69
  4. Step 4: Simplify right side
    22.15x = 509.31
  5. Step 5: Solve for x
    x = 509.31/22.15
  6. Step 6: Final answer
    x = 22.99

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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.