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Finding the Fourth Proportional to 67.84, 93.60 and 53.24

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Solution

The fourth proportional to 67.84, 93.60 and 53.24 is: 73.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.84 : 93.60 = 53.24 : x
  2. Step 2: Convert to fraction form
    67.84/93.60 = 53.24/x
  3. Step 3: Cross multiply
    67.84x = 93.60 × 53.24
  4. Step 4: Simplify right side
    67.84x = 4,983.26
  5. Step 5: Solve for x
    x = 4,983.26/67.84
  6. Step 6: Final answer
    x = 73.46

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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.