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Finding the Fourth Proportional to 135.17, 184.93 and 134.76

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Solution

The fourth proportional to 135.17, 184.93 and 134.76 is: 184.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.17 : 184.93 = 134.76 : x
  2. Step 2: Convert to fraction form
    135.17/184.93 = 134.76/x
  3. Step 3: Cross multiply
    135.17x = 184.93 × 134.76
  4. Step 4: Simplify right side
    135.17x = 24,922.28
  5. Step 5: Solve for x
    x = 24,922.28/135.17
  6. Step 6: Final answer
    x = 184.38

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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.