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Finding the Fourth Proportional to 134.08, 200.38 and 95.40

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Solution

The fourth proportional to 134.08, 200.38 and 95.40 is: 142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.08 : 200.38 = 95.40 : x
  2. Step 2: Convert to fraction form
    134.08/200.38 = 95.40/x
  3. Step 3: Cross multiply
    134.08x = 200.38 × 95.40
  4. Step 4: Simplify right side
    134.08x = 19,116.25
  5. Step 5: Solve for x
    x = 19,116.25/134.08
  6. Step 6: Final answer
    x = 142.57

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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.