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Finding the Fourth Proportional to 117.10, 161.33 and 96.45

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Solution

The fourth proportional to 117.10, 161.33 and 96.45 is: 132.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.10 : 161.33 = 96.45 : x
  2. Step 2: Convert to fraction form
    117.10/161.33 = 96.45/x
  3. Step 3: Cross multiply
    117.10x = 161.33 × 96.45
  4. Step 4: Simplify right side
    117.10x = 15,560.28
  5. Step 5: Solve for x
    x = 15,560.28/117.10
  6. Step 6: Final answer
    x = 132.88

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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.