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Finding the Fourth Proportional to 79.06, 109.14 and 52.87

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Solution

The fourth proportional to 79.06, 109.14 and 52.87 is: 72.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.06 : 109.14 = 52.87 : x
  2. Step 2: Convert to fraction form
    79.06/109.14 = 52.87/x
  3. Step 3: Cross multiply
    79.06x = 109.14 × 52.87
  4. Step 4: Simplify right side
    79.06x = 5,769.96
  5. Step 5: Solve for x
    x = 5,769.96/79.06
  6. Step 6: Final answer
    x = 72.98

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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.