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Finding the Fourth Proportional to 97.12, 133.93 and 79.64

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Solution

The fourth proportional to 97.12, 133.93 and 79.64 is: 109.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.12 : 133.93 = 79.64 : x
  2. Step 2: Convert to fraction form
    97.12/133.93 = 79.64/x
  3. Step 3: Cross multiply
    97.12x = 133.93 × 79.64
  4. Step 4: Simplify right side
    97.12x = 10,666.19
  5. Step 5: Solve for x
    x = 10,666.19/97.12
  6. Step 6: Final answer
    x = 109.82

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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.