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Finding the Fourth Proportional to 137.86, 189.04 and 124.00

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Solution

The fourth proportional to 137.86, 189.04 and 124.00 is: 170.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.86 : 189.04 = 124.00 : x
  2. Step 2: Convert to fraction form
    137.86/189.04 = 124.00/x
  3. Step 3: Cross multiply
    137.86x = 189.04 × 124.00
  4. Step 4: Simplify right side
    137.86x = 23,440.64
  5. Step 5: Solve for x
    x = 23,440.64/137.86
  6. Step 6: Final answer
    x = 170.04

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.