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Finding the Fourth Proportional to 54.03, 74.57 and 31.59

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Solution

The fourth proportional to 54.03, 74.57 and 31.59 is: 43.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.03 : 74.57 = 31.59 : x
  2. Step 2: Convert to fraction form
    54.03/74.57 = 31.59/x
  3. Step 3: Cross multiply
    54.03x = 74.57 × 31.59
  4. Step 4: Simplify right side
    54.03x = 2,355.51
  5. Step 5: Solve for x
    x = 2,355.51/54.03
  6. Step 6: Final answer
    x = 43.60

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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.