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Finding the Fourth Proportional to 39.54, 54.64 and 37.32

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Solution

The fourth proportional to 39.54, 54.64 and 37.32 is: 51.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.54 : 54.64 = 37.32 : x
  2. Step 2: Convert to fraction form
    39.54/54.64 = 37.32/x
  3. Step 3: Cross multiply
    39.54x = 54.64 × 37.32
  4. Step 4: Simplify right side
    39.54x = 2,039.16
  5. Step 5: Solve for x
    x = 2,039.16/39.54
  6. Step 6: Final answer
    x = 51.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.