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Finding the Fourth Proportional to 54.40, 83.20 and 54.40

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Solution

The fourth proportional to 54.40, 83.20 and 54.40 is: 83.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.40 : 83.20 = 54.40 : x
  2. Step 2: Convert to fraction form
    54.40/83.20 = 54.40/x
  3. Step 3: Cross multiply
    54.40x = 83.20 × 54.40
  4. Step 4: Simplify right side
    54.40x = 4,526.08
  5. Step 5: Solve for x
    x = 4,526.08/54.40
  6. Step 6: Final answer
    x = 83.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.