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Finding the Fourth Proportional to 102.99, 154.49 and 85.88

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Solution

The fourth proportional to 102.99, 154.49 and 85.88 is: 128.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.99 : 154.49 = 85.88 : x
  2. Step 2: Convert to fraction form
    102.99/154.49 = 85.88/x
  3. Step 3: Cross multiply
    102.99x = 154.49 × 85.88
  4. Step 4: Simplify right side
    102.99x = 13,267.56
  5. Step 5: Solve for x
    x = 13,267.56/102.99
  6. Step 6: Final answer
    x = 128.82

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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.