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Finding the Fourth Proportional to 24.58, 36.64 and 24.54

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Solution

The fourth proportional to 24.58, 36.64 and 24.54 is: 36.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.58 : 36.64 = 24.54 : x
  2. Step 2: Convert to fraction form
    24.58/36.64 = 24.54/x
  3. Step 3: Cross multiply
    24.58x = 36.64 × 24.54
  4. Step 4: Simplify right side
    24.58x = 899.15
  5. Step 5: Solve for x
    x = 899.15/24.58
  6. Step 6: Final answer
    x = 36.58

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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.