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Finding the Fourth Proportional to 134.40, 184.36 and 132.80

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Solution

The fourth proportional to 134.40, 184.36 and 132.80 is: 182.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.40 : 184.36 = 132.80 : x
  2. Step 2: Convert to fraction form
    134.40/184.36 = 132.80/x
  3. Step 3: Cross multiply
    134.40x = 184.36 × 132.80
  4. Step 4: Simplify right side
    134.40x = 24,483.01
  5. Step 5: Solve for x
    x = 24,483.01/134.40
  6. Step 6: Final answer
    x = 182.17

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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.