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Finding the Fourth Proportional to 81.72, 112.68 and 54.03

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Solution

The fourth proportional to 81.72, 112.68 and 54.03 is: 74.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.72 : 112.68 = 54.03 : x
  2. Step 2: Convert to fraction form
    81.72/112.68 = 54.03/x
  3. Step 3: Cross multiply
    81.72x = 112.68 × 54.03
  4. Step 4: Simplify right side
    81.72x = 6,088.10
  5. Step 5: Solve for x
    x = 6,088.10/81.72
  6. Step 6: Final answer
    x = 74.50

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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.