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Finding the Fourth Proportional to 54.90, 75.75 and 53.52

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Solution

The fourth proportional to 54.90, 75.75 and 53.52 is: 73.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.90 : 75.75 = 53.52 : x
  2. Step 2: Convert to fraction form
    54.90/75.75 = 53.52/x
  3. Step 3: Cross multiply
    54.90x = 75.75 × 53.52
  4. Step 4: Simplify right side
    54.90x = 4,054.14
  5. Step 5: Solve for x
    x = 4,054.14/54.90
  6. Step 6: Final answer
    x = 73.85

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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.