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Finding the Fourth Proportional to 134.34, 185.49 and 105.30

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Solution

The fourth proportional to 134.34, 185.49 and 105.30 is: 145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.34 : 185.49 = 105.30 : x
  2. Step 2: Convert to fraction form
    134.34/185.49 = 105.30/x
  3. Step 3: Cross multiply
    134.34x = 185.49 × 105.30
  4. Step 4: Simplify right side
    134.34x = 19,532.10
  5. Step 5: Solve for x
    x = 19,532.10/134.34
  6. Step 6: Final answer
    x = 145.39

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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.