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Finding the Fourth Proportional to 22.14, 30.53 and 16.70

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Solution

The fourth proportional to 22.14, 30.53 and 16.70 is: 23.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.14 : 30.53 = 16.70 : x
  2. Step 2: Convert to fraction form
    22.14/30.53 = 16.70/x
  3. Step 3: Cross multiply
    22.14x = 30.53 × 16.70
  4. Step 4: Simplify right side
    22.14x = 509.74
  5. Step 5: Solve for x
    x = 509.74/22.14
  6. Step 6: Final answer
    x = 23.02

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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.