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Finding the Fourth Proportional to 135.82, 187.47 and 129.63

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Solution

The fourth proportional to 135.82, 187.47 and 129.63 is: 178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.82 : 187.47 = 129.63 : x
  2. Step 2: Convert to fraction form
    135.82/187.47 = 129.63/x
  3. Step 3: Cross multiply
    135.82x = 187.47 × 129.63
  4. Step 4: Simplify right side
    135.82x = 24,301.74
  5. Step 5: Solve for x
    x = 24,301.74/135.82
  6. Step 6: Final answer
    x = 178.93

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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.