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Finding the Fourth Proportional to 137.42, 189.64 and 93.77

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Solution

The fourth proportional to 137.42, 189.64 and 93.77 is: 129.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.42 : 189.64 = 93.77 : x
  2. Step 2: Convert to fraction form
    137.42/189.64 = 93.77/x
  3. Step 3: Cross multiply
    137.42x = 189.64 × 93.77
  4. Step 4: Simplify right side
    137.42x = 17,783.13
  5. Step 5: Solve for x
    x = 17,783.13/137.42
  6. Step 6: Final answer
    x = 129.41

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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.