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Finding the Fourth Proportional to 134.70, 184.62 and 133.08

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Solution

The fourth proportional to 134.70, 184.62 and 133.08 is: 182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.70 : 184.62 = 133.08 : x
  2. Step 2: Convert to fraction form
    134.70/184.62 = 133.08/x
  3. Step 3: Cross multiply
    134.70x = 184.62 × 133.08
  4. Step 4: Simplify right side
    134.70x = 24,569.23
  5. Step 5: Solve for x
    x = 24,569.23/134.70
  6. Step 6: Final answer
    x = 182.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.