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Finding the Fourth Proportional to 54.76, 82.14 and 29.08

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Solution

The fourth proportional to 54.76, 82.14 and 29.08 is: 43.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.76 : 82.14 = 29.08 : x
  2. Step 2: Convert to fraction form
    54.76/82.14 = 29.08/x
  3. Step 3: Cross multiply
    54.76x = 82.14 × 29.08
  4. Step 4: Simplify right side
    54.76x = 2,388.63
  5. Step 5: Solve for x
    x = 2,388.63/54.76
  6. Step 6: Final answer
    x = 43.62

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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.