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Finding the Fourth Proportional to 44.65, 61.68 and 40.06

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Solution

The fourth proportional to 44.65, 61.68 and 40.06 is: 55.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.65 : 61.68 = 40.06 : x
  2. Step 2: Convert to fraction form
    44.65/61.68 = 40.06/x
  3. Step 3: Cross multiply
    44.65x = 61.68 × 40.06
  4. Step 4: Simplify right side
    44.65x = 2,470.90
  5. Step 5: Solve for x
    x = 2,470.90/44.65
  6. Step 6: Final answer
    x = 55.34

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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.