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Finding the Fourth Proportional to 117.64, 176.19 and 71.94

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Solution

The fourth proportional to 117.64, 176.19 and 71.94 is: 107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.64 : 176.19 = 71.94 : x
  2. Step 2: Convert to fraction form
    117.64/176.19 = 71.94/x
  3. Step 3: Cross multiply
    117.64x = 176.19 × 71.94
  4. Step 4: Simplify right side
    117.64x = 12,675.11
  5. Step 5: Solve for x
    x = 12,675.11/117.64
  6. Step 6: Final answer
    x = 107.74

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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.