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Finding the Fourth Proportional to 126.57, 189.93 and 45.40

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Solution

The fourth proportional to 126.57, 189.93 and 45.40 is: 68.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.57 : 189.93 = 45.40 : x
  2. Step 2: Convert to fraction form
    126.57/189.93 = 45.40/x
  3. Step 3: Cross multiply
    126.57x = 189.93 × 45.40
  4. Step 4: Simplify right side
    126.57x = 8,622.60
  5. Step 5: Solve for x
    x = 8,622.60/126.57
  6. Step 6: Final answer
    x = 68.13

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