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Finding the Fourth Proportional to 105.65, 145.75 and 66.28

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Solution

The fourth proportional to 105.65, 145.75 and 66.28 is: 91.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.65 : 145.75 = 66.28 : x
  2. Step 2: Convert to fraction form
    105.65/145.75 = 66.28/x
  3. Step 3: Cross multiply
    105.65x = 145.75 × 66.28
  4. Step 4: Simplify right side
    105.65x = 9,660.31
  5. Step 5: Solve for x
    x = 9,660.31/105.65
  6. Step 6: Final answer
    x = 91.44

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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.