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Finding the Fourth Proportional to 134.30, 185.82 and 117.08

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Solution

The fourth proportional to 134.30, 185.82 and 117.08 is: 161.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.30 : 185.82 = 117.08 : x
  2. Step 2: Convert to fraction form
    134.30/185.82 = 117.08/x
  3. Step 3: Cross multiply
    134.30x = 185.82 × 117.08
  4. Step 4: Simplify right side
    134.30x = 21,755.81
  5. Step 5: Solve for x
    x = 21,755.81/134.30
  6. Step 6: Final answer
    x = 161.99

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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.