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Finding the Fourth Proportional to 79.88, 120 and 64.76

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Solution

The fourth proportional to 79.88, 120 and 64.76 is: 97.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.88 : 120 = 64.76 : x
  2. Step 2: Convert to fraction form
    79.88/120 = 64.76/x
  3. Step 3: Cross multiply
    79.88x = 120 × 64.76
  4. Step 4: Simplify right side
    79.88x = 7,771.20
  5. Step 5: Solve for x
    x = 7,771.20/79.88
  6. Step 6: Final answer
    x = 97.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.