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Finding the Fourth Proportional to 79.55, 109.69 and 65.69

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Solution

The fourth proportional to 79.55, 109.69 and 65.69 is: 90.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.55 : 109.69 = 65.69 : x
  2. Step 2: Convert to fraction form
    79.55/109.69 = 65.69/x
  3. Step 3: Cross multiply
    79.55x = 109.69 × 65.69
  4. Step 4: Simplify right side
    79.55x = 7,205.54
  5. Step 5: Solve for x
    x = 7,205.54/79.55
  6. Step 6: Final answer
    x = 90.58

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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.