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Finding the Fourth Proportional to 117.20, 176.54 and 106.64

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Solution

The fourth proportional to 117.20, 176.54 and 106.64 is: 160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.20 : 176.54 = 106.64 : x
  2. Step 2: Convert to fraction form
    117.20/176.54 = 106.64/x
  3. Step 3: Cross multiply
    117.20x = 176.54 × 106.64
  4. Step 4: Simplify right side
    117.20x = 18,826.23
  5. Step 5: Solve for x
    x = 18,826.23/117.20
  6. Step 6: Final answer
    x = 160.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.