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Finding the Fourth Proportional to 105.57, 145.72 and 66.78

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Solution

The fourth proportional to 105.57, 145.72 and 66.78 is: 92.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.57 : 145.72 = 66.78 : x
  2. Step 2: Convert to fraction form
    105.57/145.72 = 66.78/x
  3. Step 3: Cross multiply
    105.57x = 145.72 × 66.78
  4. Step 4: Simplify right side
    105.57x = 9,731.01
  5. Step 5: Solve for x
    x = 9,731.01/105.57
  6. Step 6: Final answer
    x = 92.18

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Why These Related Problems?

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