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Finding the Fourth Proportional to 15.40, 22.78 and 15.40

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Solution

The fourth proportional to 15.40, 22.78 and 15.40 is: 22.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.40 : 22.78 = 15.40 : x
  2. Step 2: Convert to fraction form
    15.40/22.78 = 15.40/x
  3. Step 3: Cross multiply
    15.40x = 22.78 × 15.40
  4. Step 4: Simplify right side
    15.40x = 350.81
  5. Step 5: Solve for x
    x = 350.81/15.40
  6. Step 6: Final answer
    x = 22.78

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.