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Finding the Fourth Proportional to 108.57, 149.77 and 71.72

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Solution

The fourth proportional to 108.57, 149.77 and 71.72 is: 98.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.57 : 149.77 = 71.72 : x
  2. Step 2: Convert to fraction form
    108.57/149.77 = 71.72/x
  3. Step 3: Cross multiply
    108.57x = 149.77 × 71.72
  4. Step 4: Simplify right side
    108.57x = 10,741.41
  5. Step 5: Solve for x
    x = 10,741.41/108.57
  6. Step 6: Final answer
    x = 98.93

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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.