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Finding the Fourth Proportional to 116.76, 175.28 and 91.05

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Solution

The fourth proportional to 116.76, 175.28 and 91.05 is: 136.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.76 : 175.28 = 91.05 : x
  2. Step 2: Convert to fraction form
    116.76/175.28 = 91.05/x
  3. Step 3: Cross multiply
    116.76x = 175.28 × 91.05
  4. Step 4: Simplify right side
    116.76x = 15,959.24
  5. Step 5: Solve for x
    x = 15,959.24/116.76
  6. Step 6: Final answer
    x = 136.68

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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.