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Finding the Fourth Proportional to 54.98, 75.88 and 30.42

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Solution

The fourth proportional to 54.98, 75.88 and 30.42 is: 41.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.98 : 75.88 = 30.42 : x
  2. Step 2: Convert to fraction form
    54.98/75.88 = 30.42/x
  3. Step 3: Cross multiply
    54.98x = 75.88 × 30.42
  4. Step 4: Simplify right side
    54.98x = 2,308.12
  5. Step 5: Solve for x
    x = 2,308.12/54.98
  6. Step 6: Final answer
    x = 41.98

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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.