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Finding the Fourth Proportional to 117.97, 162.88 and 76.59

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Solution

The fourth proportional to 117.97, 162.88 and 76.59 is: 105.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.97 : 162.88 = 76.59 : x
  2. Step 2: Convert to fraction form
    117.97/162.88 = 76.59/x
  3. Step 3: Cross multiply
    117.97x = 162.88 × 76.59
  4. Step 4: Simplify right side
    117.97x = 12,474.79
  5. Step 5: Solve for x
    x = 12,474.79/117.97
  6. Step 6: Final answer
    x = 105.75

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Why These Related Problems?

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