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Finding the Fourth Proportional to 69.12, 102.90 and 68.76

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Solution

The fourth proportional to 69.12, 102.90 and 68.76 is: 102.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.12 : 102.90 = 68.76 : x
  2. Step 2: Convert to fraction form
    69.12/102.90 = 68.76/x
  3. Step 3: Cross multiply
    69.12x = 102.90 × 68.76
  4. Step 4: Simplify right side
    69.12x = 7,075.40
  5. Step 5: Solve for x
    x = 7,075.40/69.12
  6. Step 6: Final answer
    x = 102.36

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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.