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Finding the Fourth Proportional to 54.32, 81.06 and 45.68

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Solution

The fourth proportional to 54.32, 81.06 and 45.68 is: 68.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.32 : 81.06 = 45.68 : x
  2. Step 2: Convert to fraction form
    54.32/81.06 = 45.68/x
  3. Step 3: Cross multiply
    54.32x = 81.06 × 45.68
  4. Step 4: Simplify right side
    54.32x = 3,702.82
  5. Step 5: Solve for x
    x = 3,702.82/54.32
  6. Step 6: Final answer
    x = 68.17

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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.