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Finding the Fourth Proportional to 117.47, 176.03 and 113.71

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Solution

The fourth proportional to 117.47, 176.03 and 113.71 is: 170.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.47 : 176.03 = 113.71 : x
  2. Step 2: Convert to fraction form
    117.47/176.03 = 113.71/x
  3. Step 3: Cross multiply
    117.47x = 176.03 × 113.71
  4. Step 4: Simplify right side
    117.47x = 20,015.59
  5. Step 5: Solve for x
    x = 20,015.59/117.47
  6. Step 6: Final answer
    x = 170.39

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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.