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Finding the Fourth Proportional to 273.71, 410.54 and 91.06

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Solution

The fourth proportional to 273.71, 410.54 and 91.06 is: 136.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.71 : 410.54 = 91.06 : x
  2. Step 2: Convert to fraction form
    273.71/410.54 = 91.06/x
  3. Step 3: Cross multiply
    273.71x = 410.54 × 91.06
  4. Step 4: Simplify right side
    273.71x = 37,382.29
  5. Step 5: Solve for x
    x = 37,382.29/273.71
  6. Step 6: Final answer
    x = 136.58

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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.