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Finding the Fourth Proportional to 79.17, 109.17 and 53.25

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Solution

The fourth proportional to 79.17, 109.17 and 53.25 is: 73.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.17 : 109.17 = 53.25 : x
  2. Step 2: Convert to fraction form
    79.17/109.17 = 53.25/x
  3. Step 3: Cross multiply
    79.17x = 109.17 × 53.25
  4. Step 4: Simplify right side
    79.17x = 5,813.30
  5. Step 5: Solve for x
    x = 5,813.30/79.17
  6. Step 6: Final answer
    x = 73.43

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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.