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Finding the Fourth Proportional to 22.84, 31.45 and 19.77

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Solution

The fourth proportional to 22.84, 31.45 and 19.77 is: 27.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.84 : 31.45 = 19.77 : x
  2. Step 2: Convert to fraction form
    22.84/31.45 = 19.77/x
  3. Step 3: Cross multiply
    22.84x = 31.45 × 19.77
  4. Step 4: Simplify right side
    22.84x = 621.77
  5. Step 5: Solve for x
    x = 621.77/22.84
  6. Step 6: Final answer
    x = 27.22

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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.