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Finding the Fourth Proportional to 134.12, 183.95 and 130.16

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Solution

The fourth proportional to 134.12, 183.95 and 130.16 is: 178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.12 : 183.95 = 130.16 : x
  2. Step 2: Convert to fraction form
    134.12/183.95 = 130.16/x
  3. Step 3: Cross multiply
    134.12x = 183.95 × 130.16
  4. Step 4: Simplify right side
    134.12x = 23,941.36
  5. Step 5: Solve for x
    x = 23,941.36/134.12
  6. Step 6: Final answer
    x = 178.51

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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.