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Finding the Fourth Proportional to 26.59, 39.64 and 24.56

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Solution

The fourth proportional to 26.59, 39.64 and 24.56 is: 36.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.59 : 39.64 = 24.56 : x
  2. Step 2: Convert to fraction form
    26.59/39.64 = 24.56/x
  3. Step 3: Cross multiply
    26.59x = 39.64 × 24.56
  4. Step 4: Simplify right side
    26.59x = 973.56
  5. Step 5: Solve for x
    x = 973.56/26.59
  6. Step 6: Final answer
    x = 36.61

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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.