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Finding the Fourth Proportional to 68.76, 103.23 and 64.98

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Solution

The fourth proportional to 68.76, 103.23 and 64.98 is: 97.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.76 : 103.23 = 64.98 : x
  2. Step 2: Convert to fraction form
    68.76/103.23 = 64.98/x
  3. Step 3: Cross multiply
    68.76x = 103.23 × 64.98
  4. Step 4: Simplify right side
    68.76x = 6,707.89
  5. Step 5: Solve for x
    x = 6,707.89/68.76
  6. Step 6: Final answer
    x = 97.56

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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.