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Finding the Fourth Proportional to 109.99, 164.62 and 97.99

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Solution

The fourth proportional to 109.99, 164.62 and 97.99 is: 146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.99 : 164.62 = 97.99 : x
  2. Step 2: Convert to fraction form
    109.99/164.62 = 97.99/x
  3. Step 3: Cross multiply
    109.99x = 164.62 × 97.99
  4. Step 4: Simplify right side
    109.99x = 16,131.11
  5. Step 5: Solve for x
    x = 16,131.11/109.99
  6. Step 6: Final answer
    x = 146.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.