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Finding the Fourth Proportional to 111.99, 167.23 and 90.35

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Solution

The fourth proportional to 111.99, 167.23 and 90.35 is: 134.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.99 : 167.23 = 90.35 : x
  2. Step 2: Convert to fraction form
    111.99/167.23 = 90.35/x
  3. Step 3: Cross multiply
    111.99x = 167.23 × 90.35
  4. Step 4: Simplify right side
    111.99x = 15,109.23
  5. Step 5: Solve for x
    x = 15,109.23/111.99
  6. Step 6: Final answer
    x = 134.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.