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Finding the Fourth Proportional to 117.80, 176.46 and 105.66

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Solution

The fourth proportional to 117.80, 176.46 and 105.66 is: 158.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.80 : 176.46 = 105.66 : x
  2. Step 2: Convert to fraction form
    117.80/176.46 = 105.66/x
  3. Step 3: Cross multiply
    117.80x = 176.46 × 105.66
  4. Step 4: Simplify right side
    117.80x = 18,644.76
  5. Step 5: Solve for x
    x = 18,644.76/117.80
  6. Step 6: Final answer
    x = 158.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.