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Finding the Fourth Proportional to 108.56, 150.08 and 76.04

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Solution

The fourth proportional to 108.56, 150.08 and 76.04 is: 105.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.56 : 150.08 = 76.04 : x
  2. Step 2: Convert to fraction form
    108.56/150.08 = 76.04/x
  3. Step 3: Cross multiply
    108.56x = 150.08 × 76.04
  4. Step 4: Simplify right side
    108.56x = 11,412.08
  5. Step 5: Solve for x
    x = 11,412.08/108.56
  6. Step 6: Final answer
    x = 105.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.