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Finding the Fourth Proportional to 54.66, 81.62 and 45.95

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Solution

The fourth proportional to 54.66, 81.62 and 45.95 is: 68.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.66 : 81.62 = 45.95 : x
  2. Step 2: Convert to fraction form
    54.66/81.62 = 45.95/x
  3. Step 3: Cross multiply
    54.66x = 81.62 × 45.95
  4. Step 4: Simplify right side
    54.66x = 3,750.21
  5. Step 5: Solve for x
    x = 3,750.21/54.66
  6. Step 6: Final answer
    x = 68.62

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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.