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Finding the Fourth Proportional to 134.32, 200.57 and 116.08

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Solution

The fourth proportional to 134.32, 200.57 and 116.08 is: 173.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.32 : 200.57 = 116.08 : x
  2. Step 2: Convert to fraction form
    134.32/200.57 = 116.08/x
  3. Step 3: Cross multiply
    134.32x = 200.57 × 116.08
  4. Step 4: Simplify right side
    134.32x = 23,282.17
  5. Step 5: Solve for x
    x = 23,282.17/134.32
  6. Step 6: Final answer
    x = 173.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.