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Finding the Fourth Proportional to 39.84, 54.86 and 39.72

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Solution

The fourth proportional to 39.84, 54.86 and 39.72 is: 54.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.84 : 54.86 = 39.72 : x
  2. Step 2: Convert to fraction form
    39.84/54.86 = 39.72/x
  3. Step 3: Cross multiply
    39.84x = 54.86 × 39.72
  4. Step 4: Simplify right side
    39.84x = 2,178.84
  5. Step 5: Solve for x
    x = 2,178.84/39.84
  6. Step 6: Final answer
    x = 54.69

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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.