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Finding the Fourth Proportional to 126.57, 189.63 and 65.64

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Solution

The fourth proportional to 126.57, 189.63 and 65.64 is: 98.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.57 : 189.63 = 65.64 : x
  2. Step 2: Convert to fraction form
    126.57/189.63 = 65.64/x
  3. Step 3: Cross multiply
    126.57x = 189.63 × 65.64
  4. Step 4: Simplify right side
    126.57x = 12,447.31
  5. Step 5: Solve for x
    x = 12,447.31/126.57
  6. Step 6: Final answer
    x = 98.34

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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.