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Finding the Fourth Proportional to 111.06, 152.91 and 96.42

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Solution

The fourth proportional to 111.06, 152.91 and 96.42 is: 132.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.06 : 152.91 = 96.42 : x
  2. Step 2: Convert to fraction form
    111.06/152.91 = 96.42/x
  3. Step 3: Cross multiply
    111.06x = 152.91 × 96.42
  4. Step 4: Simplify right side
    111.06x = 14,743.58
  5. Step 5: Solve for x
    x = 14,743.58/111.06
  6. Step 6: Final answer
    x = 132.75

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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.