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Finding the Fourth Proportional to 108.56, 149.35 and 94.77

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Solution

The fourth proportional to 108.56, 149.35 and 94.77 is: 130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.56 : 149.35 = 94.77 : x
  2. Step 2: Convert to fraction form
    108.56/149.35 = 94.77/x
  3. Step 3: Cross multiply
    108.56x = 149.35 × 94.77
  4. Step 4: Simplify right side
    108.56x = 14,154.27
  5. Step 5: Solve for x
    x = 14,154.27/108.56
  6. Step 6: Final answer
    x = 130.39

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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.