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Finding the Fourth Proportional to 102.88, 153.84 and 76.90

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Solution

The fourth proportional to 102.88, 153.84 and 76.90 is: 114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.88 : 153.84 = 76.90 : x
  2. Step 2: Convert to fraction form
    102.88/153.84 = 76.90/x
  3. Step 3: Cross multiply
    102.88x = 153.84 × 76.90
  4. Step 4: Simplify right side
    102.88x = 11,830.30
  5. Step 5: Solve for x
    x = 11,830.30/102.88
  6. Step 6: Final answer
    x = 114.99

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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.