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Finding the Fourth Proportional to 22.85, 31.48 and 15.93

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Solution

The fourth proportional to 22.85, 31.48 and 15.93 is: 21.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.85 : 31.48 = 15.93 : x
  2. Step 2: Convert to fraction form
    22.85/31.48 = 15.93/x
  3. Step 3: Cross multiply
    22.85x = 31.48 × 15.93
  4. Step 4: Simplify right side
    22.85x = 501.44
  5. Step 5: Solve for x
    x = 501.44/22.85
  6. Step 6: Final answer
    x = 21.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.