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Finding the Fourth Proportional to 54.58, 81.54 and 48.86

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Solution

The fourth proportional to 54.58, 81.54 and 48.86 is: 72.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.58 : 81.54 = 48.86 : x
  2. Step 2: Convert to fraction form
    54.58/81.54 = 48.86/x
  3. Step 3: Cross multiply
    54.58x = 81.54 × 48.86
  4. Step 4: Simplify right side
    54.58x = 3,984.04
  5. Step 5: Solve for x
    x = 3,984.04/54.58
  6. Step 6: Final answer
    x = 72.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.