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Finding the Fourth Proportional to 15.84, 23.92 and 15.84

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Solution

The fourth proportional to 15.84, 23.92 and 15.84 is: 23.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.84 : 23.92 = 15.84 : x
  2. Step 2: Convert to fraction form
    15.84/23.92 = 15.84/x
  3. Step 3: Cross multiply
    15.84x = 23.92 × 15.84
  4. Step 4: Simplify right side
    15.84x = 378.89
  5. Step 5: Solve for x
    x = 378.89/15.84
  6. Step 6: Final answer
    x = 23.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.