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Finding the Fourth Proportional to 54.53, 75.24 and 29.96

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Solution

The fourth proportional to 54.53, 75.24 and 29.96 is: 41.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.53 : 75.24 = 29.96 : x
  2. Step 2: Convert to fraction form
    54.53/75.24 = 29.96/x
  3. Step 3: Cross multiply
    54.53x = 75.24 × 29.96
  4. Step 4: Simplify right side
    54.53x = 2,254.49
  5. Step 5: Solve for x
    x = 2,254.49/54.53
  6. Step 6: Final answer
    x = 41.35

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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.