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Finding the Fourth Proportional to 67.63, 93.14 and 54.49

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Solution

The fourth proportional to 67.63, 93.14 and 54.49 is: 75.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.63 : 93.14 = 54.49 : x
  2. Step 2: Convert to fraction form
    67.63/93.14 = 54.49/x
  3. Step 3: Cross multiply
    67.63x = 93.14 × 54.49
  4. Step 4: Simplify right side
    67.63x = 5,075.20
  5. Step 5: Solve for x
    x = 5,075.20/67.63
  6. Step 6: Final answer
    x = 75.04

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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.