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Finding the Fourth Proportional to 24.56, 36.66 and 24.08

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Solution

The fourth proportional to 24.56, 36.66 and 24.08 is: 35.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.56 : 36.66 = 24.08 : x
  2. Step 2: Convert to fraction form
    24.56/36.66 = 24.08/x
  3. Step 3: Cross multiply
    24.56x = 36.66 × 24.08
  4. Step 4: Simplify right side
    24.56x = 882.77
  5. Step 5: Solve for x
    x = 882.77/24.56
  6. Step 6: Final answer
    x = 35.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.