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Finding the Fourth Proportional to 102.76, 154.17 and 44.99

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Solution

The fourth proportional to 102.76, 154.17 and 44.99 is: 67.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.76 : 154.17 = 44.99 : x
  2. Step 2: Convert to fraction form
    102.76/154.17 = 44.99/x
  3. Step 3: Cross multiply
    102.76x = 154.17 × 44.99
  4. Step 4: Simplify right side
    102.76x = 6,936.11
  5. Step 5: Solve for x
    x = 6,936.11/102.76
  6. Step 6: Final answer
    x = 67.50

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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.