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Finding the Fourth Proportional to 67.84, 102.14 and 52.70

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Solution

The fourth proportional to 67.84, 102.14 and 52.70 is: 79.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.84 : 102.14 = 52.70 : x
  2. Step 2: Convert to fraction form
    67.84/102.14 = 52.70/x
  3. Step 3: Cross multiply
    67.84x = 102.14 × 52.70
  4. Step 4: Simplify right side
    67.84x = 5,382.78
  5. Step 5: Solve for x
    x = 5,382.78/67.84
  6. Step 6: Final answer
    x = 79.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.