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Finding the Fourth Proportional to 79.24, 109.14 and 63.46

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Solution

The fourth proportional to 79.24, 109.14 and 63.46 is: 87.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.24 : 109.14 = 63.46 : x
  2. Step 2: Convert to fraction form
    79.24/109.14 = 63.46/x
  3. Step 3: Cross multiply
    79.24x = 109.14 × 63.46
  4. Step 4: Simplify right side
    79.24x = 6,926.02
  5. Step 5: Solve for x
    x = 6,926.02/79.24
  6. Step 6: Final answer
    x = 87.41

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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.