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Finding the Fourth Proportional to 22.57, 31.11 and 15.65

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Solution

The fourth proportional to 22.57, 31.11 and 15.65 is: 21.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.57 : 31.11 = 15.65 : x
  2. Step 2: Convert to fraction form
    22.57/31.11 = 15.65/x
  3. Step 3: Cross multiply
    22.57x = 31.11 × 15.65
  4. Step 4: Simplify right side
    22.57x = 486.77
  5. Step 5: Solve for x
    x = 486.77/22.57
  6. Step 6: Final answer
    x = 21.57

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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.