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Finding the Fourth Proportional to 68.79, 102.51 and 66.21

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Solution

The fourth proportional to 68.79, 102.51 and 66.21 is: 98.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.79 : 102.51 = 66.21 : x
  2. Step 2: Convert to fraction form
    68.79/102.51 = 66.21/x
  3. Step 3: Cross multiply
    68.79x = 102.51 × 66.21
  4. Step 4: Simplify right side
    68.79x = 6,787.19
  5. Step 5: Solve for x
    x = 6,787.19/68.79
  6. Step 6: Final answer
    x = 98.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.