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Finding the Fourth Proportional to 111.15, 153.29 and 71.76

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Solution

The fourth proportional to 111.15, 153.29 and 71.76 is: 98.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.15 : 153.29 = 71.76 : x
  2. Step 2: Convert to fraction form
    111.15/153.29 = 71.76/x
  3. Step 3: Cross multiply
    111.15x = 153.29 × 71.76
  4. Step 4: Simplify right side
    111.15x = 10,999.73
  5. Step 5: Solve for x
    x = 10,999.73/111.15
  6. Step 6: Final answer
    x = 98.96

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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.