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Finding the Fourth Proportional to 102.84, 154.28 and 30.71

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Solution

The fourth proportional to 102.84, 154.28 and 30.71 is: 46.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.84 : 154.28 = 30.71 : x
  2. Step 2: Convert to fraction form
    102.84/154.28 = 30.71/x
  3. Step 3: Cross multiply
    102.84x = 154.28 × 30.71
  4. Step 4: Simplify right side
    102.84x = 4,737.01
  5. Step 5: Solve for x
    x = 4,737.01/102.84
  6. Step 6: Final answer
    x = 46.06

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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.