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Finding the Fourth Proportional to 113.84, 156.84 and 108.72

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Solution

The fourth proportional to 113.84, 156.84 and 108.72 is: 149.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.84 : 156.84 = 108.72 : x
  2. Step 2: Convert to fraction form
    113.84/156.84 = 108.72/x
  3. Step 3: Cross multiply
    113.84x = 156.84 × 108.72
  4. Step 4: Simplify right side
    113.84x = 17,051.64
  5. Step 5: Solve for x
    x = 17,051.64/113.84
  6. Step 6: Final answer
    x = 149.79

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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.