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Finding the Fourth Proportional to 108.58, 149.76 and 94

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Solution

The fourth proportional to 108.58, 149.76 and 94 is: 129.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.58 : 149.76 = 94 : x
  2. Step 2: Convert to fraction form
    108.58/149.76 = 94/x
  3. Step 3: Cross multiply
    108.58x = 149.76 × 94
  4. Step 4: Simplify right side
    108.58x = 14,077.44
  5. Step 5: Solve for x
    x = 14,077.44/108.58
  6. Step 6: Final answer
    x = 129.65

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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.