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Finding the Fourth Proportional to 79.65, 109.86 and 52.01

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Solution

The fourth proportional to 79.65, 109.86 and 52.01 is: 71.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.65 : 109.86 = 52.01 : x
  2. Step 2: Convert to fraction form
    79.65/109.86 = 52.01/x
  3. Step 3: Cross multiply
    79.65x = 109.86 × 52.01
  4. Step 4: Simplify right side
    79.65x = 5,713.49
  5. Step 5: Solve for x
    x = 5,713.49/79.65
  6. Step 6: Final answer
    x = 71.73

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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.