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Finding the Fourth Proportional to 22.81, 31.44 and 14.60

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Solution

The fourth proportional to 22.81, 31.44 and 14.60 is: 20.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.81 : 31.44 = 14.60 : x
  2. Step 2: Convert to fraction form
    22.81/31.44 = 14.60/x
  3. Step 3: Cross multiply
    22.81x = 31.44 × 14.60
  4. Step 4: Simplify right side
    22.81x = 459.10
  5. Step 5: Solve for x
    x = 459.10/22.81
  6. Step 6: Final answer
    x = 20.13

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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.