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Finding the Fourth Proportional to 138.29, 206.58 and 102.29

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Solution

The fourth proportional to 138.29, 206.58 and 102.29 is: 152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.29 : 206.58 = 102.29 : x
  2. Step 2: Convert to fraction form
    138.29/206.58 = 102.29/x
  3. Step 3: Cross multiply
    138.29x = 206.58 × 102.29
  4. Step 4: Simplify right side
    138.29x = 21,130.56
  5. Step 5: Solve for x
    x = 21,130.56/138.29
  6. Step 6: Final answer
    x = 152.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.