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Finding the Fourth Proportional to 79.76, 109.96 and 64.08

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Solution

The fourth proportional to 79.76, 109.96 and 64.08 is: 88.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.76 : 109.96 = 64.08 : x
  2. Step 2: Convert to fraction form
    79.76/109.96 = 64.08/x
  3. Step 3: Cross multiply
    79.76x = 109.96 × 64.08
  4. Step 4: Simplify right side
    79.76x = 7,046.24
  5. Step 5: Solve for x
    x = 7,046.24/79.76
  6. Step 6: Final answer
    x = 88.34

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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.