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Finding the Fourth Proportional to 111.24, 153.72 and 91.80

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Solution

The fourth proportional to 111.24, 153.72 and 91.80 is: 126.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.24 : 153.72 = 91.80 : x
  2. Step 2: Convert to fraction form
    111.24/153.72 = 91.80/x
  3. Step 3: Cross multiply
    111.24x = 153.72 × 91.80
  4. Step 4: Simplify right side
    111.24x = 14,111.50
  5. Step 5: Solve for x
    x = 14,111.50/111.24
  6. Step 6: Final answer
    x = 126.86

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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.