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Finding the Fourth Proportional to 117.64, 176.15 and 110.43

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Solution

The fourth proportional to 117.64, 176.15 and 110.43 is: 165.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.64 : 176.15 = 110.43 : x
  2. Step 2: Convert to fraction form
    117.64/176.15 = 110.43/x
  3. Step 3: Cross multiply
    117.64x = 176.15 × 110.43
  4. Step 4: Simplify right side
    117.64x = 19,452.52
  5. Step 5: Solve for x
    x = 19,452.52/117.64
  6. Step 6: Final answer
    x = 165.35

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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.