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Finding the Fourth Proportional to 117.67, 162.30 and 89.99

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Solution

The fourth proportional to 117.67, 162.30 and 89.99 is: 124.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.67 : 162.30 = 89.99 : x
  2. Step 2: Convert to fraction form
    117.67/162.30 = 89.99/x
  3. Step 3: Cross multiply
    117.67x = 162.30 × 89.99
  4. Step 4: Simplify right side
    117.67x = 14,604.84
  5. Step 5: Solve for x
    x = 14,604.84/117.67
  6. Step 6: Final answer
    x = 124.12

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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.