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Finding the Fourth Proportional to 23.17, 31.94 and 15.88

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Solution

The fourth proportional to 23.17, 31.94 and 15.88 is: 21.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.17 : 31.94 = 15.88 : x
  2. Step 2: Convert to fraction form
    23.17/31.94 = 15.88/x
  3. Step 3: Cross multiply
    23.17x = 31.94 × 15.88
  4. Step 4: Simplify right side
    23.17x = 507.05
  5. Step 5: Solve for x
    x = 507.05/23.17
  6. Step 6: Final answer
    x = 21.89

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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.