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Finding the Fourth Proportional to 67.98, 102.12 and 59.17

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Solution

The fourth proportional to 67.98, 102.12 and 59.17 is: 88.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.98 : 102.12 = 59.17 : x
  2. Step 2: Convert to fraction form
    67.98/102.12 = 59.17/x
  3. Step 3: Cross multiply
    67.98x = 102.12 × 59.17
  4. Step 4: Simplify right side
    67.98x = 6,041.63
  5. Step 5: Solve for x
    x = 6,041.63/67.98
  6. Step 6: Final answer
    x = 88.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.