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Finding the Fourth Proportional to 67.46, 93.02 and 51.84

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Solution

The fourth proportional to 67.46, 93.02 and 51.84 is: 71.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.46 : 93.02 = 51.84 : x
  2. Step 2: Convert to fraction form
    67.46/93.02 = 51.84/x
  3. Step 3: Cross multiply
    67.46x = 93.02 × 51.84
  4. Step 4: Simplify right side
    67.46x = 4,821.90
  5. Step 5: Solve for x
    x = 4,821.90/67.46
  6. Step 6: Final answer
    x = 71.48

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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.