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Finding the Fourth Proportional to 137.34, 205.96 and 46.02

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Solution

The fourth proportional to 137.34, 205.96 and 46.02 is: 69.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.34 : 205.96 = 46.02 : x
  2. Step 2: Convert to fraction form
    137.34/205.96 = 46.02/x
  3. Step 3: Cross multiply
    137.34x = 205.96 × 46.02
  4. Step 4: Simplify right side
    137.34x = 9,478.28
  5. Step 5: Solve for x
    x = 9,478.28/137.34
  6. Step 6: Final answer
    x = 69.01

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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.