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Finding the Fourth Proportional to 54.81, 75.54 and 45.60

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Solution

The fourth proportional to 54.81, 75.54 and 45.60 is: 62.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.81 : 75.54 = 45.60 : x
  2. Step 2: Convert to fraction form
    54.81/75.54 = 45.60/x
  3. Step 3: Cross multiply
    54.81x = 75.54 × 45.60
  4. Step 4: Simplify right side
    54.81x = 3,444.62
  5. Step 5: Solve for x
    x = 3,444.62/54.81
  6. Step 6: Final answer
    x = 62.85

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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.