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Finding the Fourth Proportional to 105.24, 156.94 and 99.12

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Solution

The fourth proportional to 105.24, 156.94 and 99.12 is: 147.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.24 : 156.94 = 99.12 : x
  2. Step 2: Convert to fraction form
    105.24/156.94 = 99.12/x
  3. Step 3: Cross multiply
    105.24x = 156.94 × 99.12
  4. Step 4: Simplify right side
    105.24x = 15,555.89
  5. Step 5: Solve for x
    x = 15,555.89/105.24
  6. Step 6: Final answer
    x = 147.81

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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.