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Finding the Fourth Proportional to 22.47, 31.09 and 19.40

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Solution

The fourth proportional to 22.47, 31.09 and 19.40 is: 26.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.47 : 31.09 = 19.40 : x
  2. Step 2: Convert to fraction form
    22.47/31.09 = 19.40/x
  3. Step 3: Cross multiply
    22.47x = 31.09 × 19.40
  4. Step 4: Simplify right side
    22.47x = 603.15
  5. Step 5: Solve for x
    x = 603.15/22.47
  6. Step 6: Final answer
    x = 26.84

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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.