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Finding the Fourth Proportional to 54.70, 75.38 and 42.40

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Solution

The fourth proportional to 54.70, 75.38 and 42.40 is: 58.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.70 : 75.38 = 42.40 : x
  2. Step 2: Convert to fraction form
    54.70/75.38 = 42.40/x
  3. Step 3: Cross multiply
    54.70x = 75.38 × 42.40
  4. Step 4: Simplify right side
    54.70x = 3,196.03
  5. Step 5: Solve for x
    x = 3,196.03/54.70
  6. Step 6: Final answer
    x = 58.43

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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.