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Finding the Fourth Proportional to 54.58, 75.32 and 30.02

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Solution

The fourth proportional to 54.58, 75.32 and 30.02 is: 41.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.58 : 75.32 = 30.02 : x
  2. Step 2: Convert to fraction form
    54.58/75.32 = 30.02/x
  3. Step 3: Cross multiply
    54.58x = 75.32 × 30.02
  4. Step 4: Simplify right side
    54.58x = 2,261.11
  5. Step 5: Solve for x
    x = 2,261.11/54.58
  6. Step 6: Final answer
    x = 41.43

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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.