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Finding the Fourth Proportional to 102.84, 154.16 and 37.82

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Solution

The fourth proportional to 102.84, 154.16 and 37.82 is: 56.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.84 : 154.16 = 37.82 : x
  2. Step 2: Convert to fraction form
    102.84/154.16 = 37.82/x
  3. Step 3: Cross multiply
    102.84x = 154.16 × 37.82
  4. Step 4: Simplify right side
    102.84x = 5,830.33
  5. Step 5: Solve for x
    x = 5,830.33/102.84
  6. Step 6: Final answer
    x = 56.69

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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.