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Finding the Fourth Proportional to 54.83, 75.66 and 31.51

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Solution

The fourth proportional to 54.83, 75.66 and 31.51 is: 43.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.83 : 75.66 = 31.51 : x
  2. Step 2: Convert to fraction form
    54.83/75.66 = 31.51/x
  3. Step 3: Cross multiply
    54.83x = 75.66 × 31.51
  4. Step 4: Simplify right side
    54.83x = 2,383.78
  5. Step 5: Solve for x
    x = 2,383.78/54.83
  6. Step 6: Final answer
    x = 43.48

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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.