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Finding the Fourth Proportional to 100.02, 137.90 and 67.32

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Solution

The fourth proportional to 100.02, 137.90 and 67.32 is: 92.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.02 : 137.90 = 67.32 : x
  2. Step 2: Convert to fraction form
    100.02/137.90 = 67.32/x
  3. Step 3: Cross multiply
    100.02x = 137.90 × 67.32
  4. Step 4: Simplify right side
    100.02x = 9,283.43
  5. Step 5: Solve for x
    x = 9,283.43/100.02
  6. Step 6: Final answer
    x = 92.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.