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Finding the Fourth Proportional to 54.76, 75.52 and 42.48

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Solution

The fourth proportional to 54.76, 75.52 and 42.48 is: 58.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.76 : 75.52 = 42.48 : x
  2. Step 2: Convert to fraction form
    54.76/75.52 = 42.48/x
  3. Step 3: Cross multiply
    54.76x = 75.52 × 42.48
  4. Step 4: Simplify right side
    54.76x = 3,208.09
  5. Step 5: Solve for x
    x = 3,208.09/54.76
  6. Step 6: Final answer
    x = 58.58

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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.