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Finding the Fourth Proportional to 68.70, 102.63 and 64.20

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Solution

The fourth proportional to 68.70, 102.63 and 64.20 is: 95.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.70 : 102.63 = 64.20 : x
  2. Step 2: Convert to fraction form
    68.70/102.63 = 64.20/x
  3. Step 3: Cross multiply
    68.70x = 102.63 × 64.20
  4. Step 4: Simplify right side
    68.70x = 6,588.85
  5. Step 5: Solve for x
    x = 6,588.85/68.70
  6. Step 6: Final answer
    x = 95.91

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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.