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Finding the Fourth Proportional to 54.90, 75.75 and 34.20

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Solution

The fourth proportional to 54.90, 75.75 and 34.20 is: 47.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.90 : 75.75 = 34.20 : x
  2. Step 2: Convert to fraction form
    54.90/75.75 = 34.20/x
  3. Step 3: Cross multiply
    54.90x = 75.75 × 34.20
  4. Step 4: Simplify right side
    54.90x = 2,590.65
  5. Step 5: Solve for x
    x = 2,590.65/54.90
  6. Step 6: Final answer
    x = 47.19

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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.