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Finding the Fourth Proportional to 108.50, 149.76 and 64.83

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Solution

The fourth proportional to 108.50, 149.76 and 64.83 is: 89.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.50 : 149.76 = 64.83 : x
  2. Step 2: Convert to fraction form
    108.50/149.76 = 64.83/x
  3. Step 3: Cross multiply
    108.50x = 149.76 × 64.83
  4. Step 4: Simplify right side
    108.50x = 9,709.50
  5. Step 5: Solve for x
    x = 9,709.50/108.50
  6. Step 6: Final answer
    x = 89.49

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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.