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Finding the Fourth Proportional to 137.48, 206.32 and 65.40

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Solution

The fourth proportional to 137.48, 206.32 and 65.40 is: 98.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.48 : 206.32 = 65.40 : x
  2. Step 2: Convert to fraction form
    137.48/206.32 = 65.40/x
  3. Step 3: Cross multiply
    137.48x = 206.32 × 65.40
  4. Step 4: Simplify right side
    137.48x = 13,493.33
  5. Step 5: Solve for x
    x = 13,493.33/137.48
  6. Step 6: Final answer
    x = 98.15

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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.