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Finding the Fourth Proportional to 137.24, 189.28 and 112.64

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Solution

The fourth proportional to 137.24, 189.28 and 112.64 is: 155.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.24 : 189.28 = 112.64 : x
  2. Step 2: Convert to fraction form
    137.24/189.28 = 112.64/x
  3. Step 3: Cross multiply
    137.24x = 189.28 × 112.64
  4. Step 4: Simplify right side
    137.24x = 21,320.50
  5. Step 5: Solve for x
    x = 21,320.50/137.24
  6. Step 6: Final answer
    x = 155.35

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