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Finding the Fourth Proportional to 54.88, 75.76 and 42.64

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Solution

The fourth proportional to 54.88, 75.76 and 42.64 is: 58.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.88 : 75.76 = 42.64 : x
  2. Step 2: Convert to fraction form
    54.88/75.76 = 42.64/x
  3. Step 3: Cross multiply
    54.88x = 75.76 × 42.64
  4. Step 4: Simplify right side
    54.88x = 3,230.41
  5. Step 5: Solve for x
    x = 3,230.41/54.88
  6. Step 6: Final answer
    x = 58.86

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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.