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Finding the Fourth Proportional to 11.50, 15.56 and 11.50

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Solution

The fourth proportional to 11.50, 15.56 and 11.50 is: 15.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.50 : 15.56 = 11.50 : x
  2. Step 2: Convert to fraction form
    11.50/15.56 = 11.50/x
  3. Step 3: Cross multiply
    11.50x = 15.56 × 11.50
  4. Step 4: Simplify right side
    11.50x = 178.94
  5. Step 5: Solve for x
    x = 178.94/11.50
  6. Step 6: Final answer
    x = 15.56

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.