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Finding the Fourth Proportional to 68.40, 102.62 and 37.98

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Solution

The fourth proportional to 68.40, 102.62 and 37.98 is: 56.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.40 : 102.62 = 37.98 : x
  2. Step 2: Convert to fraction form
    68.40/102.62 = 37.98/x
  3. Step 3: Cross multiply
    68.40x = 102.62 × 37.98
  4. Step 4: Simplify right side
    68.40x = 3,897.32
  5. Step 5: Solve for x
    x = 3,897.32/68.40
  6. Step 6: Final answer
    x = 56.98

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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.