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Finding the Fourth Proportional to 67.50, 93.24 and 52.02

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Solution

The fourth proportional to 67.50, 93.24 and 52.02 is: 71.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.50 : 93.24 = 52.02 : x
  2. Step 2: Convert to fraction form
    67.50/93.24 = 52.02/x
  3. Step 3: Cross multiply
    67.50x = 93.24 × 52.02
  4. Step 4: Simplify right side
    67.50x = 4,850.34
  5. Step 5: Solve for x
    x = 4,850.34/67.50
  6. Step 6: Final answer
    x = 71.86

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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.