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Finding the Fourth Proportional to 102.69, 154.06 and 38.57

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Solution

The fourth proportional to 102.69, 154.06 and 38.57 is: 57.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.69 : 154.06 = 38.57 : x
  2. Step 2: Convert to fraction form
    102.69/154.06 = 38.57/x
  3. Step 3: Cross multiply
    102.69x = 154.06 × 38.57
  4. Step 4: Simplify right side
    102.69x = 5,941.13
  5. Step 5: Solve for x
    x = 5,941.13/102.69
  6. Step 6: Final answer
    x = 57.86

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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.