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Finding the Fourth Proportional to 117.42, 176.08 and 44.26

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Solution

The fourth proportional to 117.42, 176.08 and 44.26 is: 66.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.42 : 176.08 = 44.26 : x
  2. Step 2: Convert to fraction form
    117.42/176.08 = 44.26/x
  3. Step 3: Cross multiply
    117.42x = 176.08 × 44.26
  4. Step 4: Simplify right side
    117.42x = 7,793.30
  5. Step 5: Solve for x
    x = 7,793.30/117.42
  6. Step 6: Final answer
    x = 66.37

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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.