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Finding the Fourth Proportional to 22.77, 31.41 and 15.89

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Solution

The fourth proportional to 22.77, 31.41 and 15.89 is: 21.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.77 : 31.41 = 15.89 : x
  2. Step 2: Convert to fraction form
    22.77/31.41 = 15.89/x
  3. Step 3: Cross multiply
    22.77x = 31.41 × 15.89
  4. Step 4: Simplify right side
    22.77x = 498.95
  5. Step 5: Solve for x
    x = 498.95/22.77
  6. Step 6: Final answer
    x = 21.91

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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.