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Finding the Fourth Proportional to 68.58, 103.33 and 65.49

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Solution

The fourth proportional to 68.58, 103.33 and 65.49 is: 98.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.58 : 103.33 = 65.49 : x
  2. Step 2: Convert to fraction form
    68.58/103.33 = 65.49/x
  3. Step 3: Cross multiply
    68.58x = 103.33 × 65.49
  4. Step 4: Simplify right side
    68.58x = 6,767.08
  5. Step 5: Solve for x
    x = 6,767.08/68.58
  6. Step 6: Final answer
    x = 98.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.