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Finding the Fourth Proportional to 137.45, 206.31 and 101.00

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Solution

The fourth proportional to 137.45, 206.31 and 101.00 is: 151.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.45 : 206.31 = 101.00 : x
  2. Step 2: Convert to fraction form
    137.45/206.31 = 101.00/x
  3. Step 3: Cross multiply
    137.45x = 206.31 × 101.00
  4. Step 4: Simplify right side
    137.45x = 20,836.28
  5. Step 5: Solve for x
    x = 20,836.28/137.45
  6. Step 6: Final answer
    x = 151.60

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