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Finding the Fourth Proportional to 22.55, 31.14 and 15.66

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Solution

The fourth proportional to 22.55, 31.14 and 15.66 is: 21.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.55 : 31.14 = 15.66 : x
  2. Step 2: Convert to fraction form
    22.55/31.14 = 15.66/x
  3. Step 3: Cross multiply
    22.55x = 31.14 × 15.66
  4. Step 4: Simplify right side
    22.55x = 487.65
  5. Step 5: Solve for x
    x = 487.65/22.55
  6. Step 6: Final answer
    x = 21.63

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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.