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Finding the Fourth Proportional to 36.48, 54.64 and 25.76

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Solution

The fourth proportional to 36.48, 54.64 and 25.76 is: 38.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.48 : 54.64 = 25.76 : x
  2. Step 2: Convert to fraction form
    36.48/54.64 = 25.76/x
  3. Step 3: Cross multiply
    36.48x = 54.64 × 25.76
  4. Step 4: Simplify right side
    36.48x = 1,407.53
  5. Step 5: Solve for x
    x = 1,407.53/36.48
  6. Step 6: Final answer
    x = 38.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.