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Finding the Fourth Proportional to 117.26, 161.76 and 77.93

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Solution

The fourth proportional to 117.26, 161.76 and 77.93 is: 107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.26 : 161.76 = 77.93 : x
  2. Step 2: Convert to fraction form
    117.26/161.76 = 77.93/x
  3. Step 3: Cross multiply
    117.26x = 161.76 × 77.93
  4. Step 4: Simplify right side
    117.26x = 12,605.96
  5. Step 5: Solve for x
    x = 12,605.96/117.26
  6. Step 6: Final answer
    x = 107.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.