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Finding the Fourth Proportional to 137.32, 205.89 and 65.14

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Solution

The fourth proportional to 137.32, 205.89 and 65.14 is: 97.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.32 : 205.89 = 65.14 : x
  2. Step 2: Convert to fraction form
    137.32/205.89 = 65.14/x
  3. Step 3: Cross multiply
    137.32x = 205.89 × 65.14
  4. Step 4: Simplify right side
    137.32x = 13,411.67
  5. Step 5: Solve for x
    x = 13,411.67/137.32
  6. Step 6: Final answer
    x = 97.67

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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.