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Finding the Fourth Proportional to 117.99, 162.68 and 76.47

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Solution

The fourth proportional to 117.99, 162.68 and 76.47 is: 105.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.99 : 162.68 = 76.47 : x
  2. Step 2: Convert to fraction form
    117.99/162.68 = 76.47/x
  3. Step 3: Cross multiply
    117.99x = 162.68 × 76.47
  4. Step 4: Simplify right side
    117.99x = 12,439.76
  5. Step 5: Solve for x
    x = 12,439.76/117.99
  6. Step 6: Final answer
    x = 105.43

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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.