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Finding the Fourth Proportional to 134.38, 185.51 and 102.61

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Solution

The fourth proportional to 134.38, 185.51 and 102.61 is: 141.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.38 : 185.51 = 102.61 : x
  2. Step 2: Convert to fraction form
    134.38/185.51 = 102.61/x
  3. Step 3: Cross multiply
    134.38x = 185.51 × 102.61
  4. Step 4: Simplify right side
    134.38x = 19,035.34
  5. Step 5: Solve for x
    x = 19,035.34/134.38
  6. Step 6: Final answer
    x = 141.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.