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Finding the Fourth Proportional to 117.97, 176.14 and 106.46

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Solution

The fourth proportional to 117.97, 176.14 and 106.46 is: 158.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.97 : 176.14 = 106.46 : x
  2. Step 2: Convert to fraction form
    117.97/176.14 = 106.46/x
  3. Step 3: Cross multiply
    117.97x = 176.14 × 106.46
  4. Step 4: Simplify right side
    117.97x = 18,752.77
  5. Step 5: Solve for x
    x = 18,752.77/117.97
  6. Step 6: Final answer
    x = 158.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.