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Finding the Fourth Proportional to 108.50, 162.76 and 83.13

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Solution

The fourth proportional to 108.50, 162.76 and 83.13 is: 124.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.50 : 162.76 = 83.13 : x
  2. Step 2: Convert to fraction form
    108.50/162.76 = 83.13/x
  3. Step 3: Cross multiply
    108.50x = 162.76 × 83.13
  4. Step 4: Simplify right side
    108.50x = 13,530.24
  5. Step 5: Solve for x
    x = 13,530.24/108.50
  6. Step 6: Final answer
    x = 124.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.