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Finding the Fourth Proportional to 135.04, 186.14 and 129.64

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Solution

The fourth proportional to 135.04, 186.14 and 129.64 is: 178.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.04 : 186.14 = 129.64 : x
  2. Step 2: Convert to fraction form
    135.04/186.14 = 129.64/x
  3. Step 3: Cross multiply
    135.04x = 186.14 × 129.64
  4. Step 4: Simplify right side
    135.04x = 24,131.19
  5. Step 5: Solve for x
    x = 24,131.19/135.04
  6. Step 6: Final answer
    x = 178.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.