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Finding the Fourth Proportional to 79.96, 120.41 and 64.77

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Solution

The fourth proportional to 79.96, 120.41 and 64.77 is: 97.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.96 : 120.41 = 64.77 : x
  2. Step 2: Convert to fraction form
    79.96/120.41 = 64.77/x
  3. Step 3: Cross multiply
    79.96x = 120.41 × 64.77
  4. Step 4: Simplify right side
    79.96x = 7,798.96
  5. Step 5: Solve for x
    x = 7,798.96/79.96
  6. Step 6: Final answer
    x = 97.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.