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Finding the Fourth Proportional to 54.66, 75.43 and 32.84

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Solution

The fourth proportional to 54.66, 75.43 and 32.84 is: 45.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.66 : 75.43 = 32.84 : x
  2. Step 2: Convert to fraction form
    54.66/75.43 = 32.84/x
  3. Step 3: Cross multiply
    54.66x = 75.43 × 32.84
  4. Step 4: Simplify right side
    54.66x = 2,477.12
  5. Step 5: Solve for x
    x = 2,477.12/54.66
  6. Step 6: Final answer
    x = 45.32

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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.