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Finding the Fourth Proportional to 137.57, 206.35 and 65.48

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Solution

The fourth proportional to 137.57, 206.35 and 65.48 is: 98.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.57 : 206.35 = 65.48 : x
  2. Step 2: Convert to fraction form
    137.57/206.35 = 65.48/x
  3. Step 3: Cross multiply
    137.57x = 206.35 × 65.48
  4. Step 4: Simplify right side
    137.57x = 13,510.60
  5. Step 5: Solve for x
    x = 13,510.60/137.57
  6. Step 6: Final answer
    x = 98.21

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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.