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Finding the Fourth Proportional to 54.71, 75.86 and 53.12

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Solution

The fourth proportional to 54.71, 75.86 and 53.12 is: 73.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.71 : 75.86 = 53.12 : x
  2. Step 2: Convert to fraction form
    54.71/75.86 = 53.12/x
  3. Step 3: Cross multiply
    54.71x = 75.86 × 53.12
  4. Step 4: Simplify right side
    54.71x = 4,029.64
  5. Step 5: Solve for x
    x = 4,029.64/54.71
  6. Step 6: Final answer
    x = 73.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.