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Finding the Fourth Proportional to 54.05, 74.51 and 45.32

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Solution

The fourth proportional to 54.05, 74.51 and 45.32 is: 62.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.05 : 74.51 = 45.32 : x
  2. Step 2: Convert to fraction form
    54.05/74.51 = 45.32/x
  3. Step 3: Cross multiply
    54.05x = 74.51 × 45.32
  4. Step 4: Simplify right side
    54.05x = 3,376.19
  5. Step 5: Solve for x
    x = 3,376.19/54.05
  6. Step 6: Final answer
    x = 62.47

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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.