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Finding the Fourth Proportional to 22.16, 30.57 and 12.45

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Solution

The fourth proportional to 22.16, 30.57 and 12.45 is: 17.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.16 : 30.57 = 12.45 : x
  2. Step 2: Convert to fraction form
    22.16/30.57 = 12.45/x
  3. Step 3: Cross multiply
    22.16x = 30.57 × 12.45
  4. Step 4: Simplify right side
    22.16x = 380.76
  5. Step 5: Solve for x
    x = 380.76/22.16
  6. Step 6: Final answer
    x = 17.19

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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.