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Finding the Fourth Proportional to 105.30, 156.84 and 88.69

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Solution

The fourth proportional to 105.30, 156.84 and 88.69 is: 132.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.30 : 156.84 = 88.69 : x
  2. Step 2: Convert to fraction form
    105.30/156.84 = 88.69/x
  3. Step 3: Cross multiply
    105.30x = 156.84 × 88.69
  4. Step 4: Simplify right side
    105.30x = 13,910.14
  5. Step 5: Solve for x
    x = 13,910.14/105.30
  6. Step 6: Final answer
    x = 132.10

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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.