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Finding the Fourth Proportional to 134.56, 200.85 and 117.56

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Solution

The fourth proportional to 134.56, 200.85 and 117.56 is: 175.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.56 : 200.85 = 117.56 : x
  2. Step 2: Convert to fraction form
    134.56/200.85 = 117.56/x
  3. Step 3: Cross multiply
    134.56x = 200.85 × 117.56
  4. Step 4: Simplify right side
    134.56x = 23,611.93
  5. Step 5: Solve for x
    x = 23,611.93/134.56
  6. Step 6: Final answer
    x = 175.48

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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.