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Finding the Fourth Proportional to 126.50, 189.76 and 78.50

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Solution

The fourth proportional to 126.50, 189.76 and 78.50 is: 117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.50 : 189.76 = 78.50 : x
  2. Step 2: Convert to fraction form
    126.50/189.76 = 78.50/x
  3. Step 3: Cross multiply
    126.50x = 189.76 × 78.50
  4. Step 4: Simplify right side
    126.50x = 14,896.16
  5. Step 5: Solve for x
    x = 14,896.16/126.50
  6. Step 6: Final answer
    x = 117.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.