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Finding the Fourth Proportional to 79.02, 108.45 and 71.64

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Solution

The fourth proportional to 79.02, 108.45 and 71.64 is: 98.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.02 : 108.45 = 71.64 : x
  2. Step 2: Convert to fraction form
    79.02/108.45 = 71.64/x
  3. Step 3: Cross multiply
    79.02x = 108.45 × 71.64
  4. Step 4: Simplify right side
    79.02x = 7,769.36
  5. Step 5: Solve for x
    x = 7,769.36/79.02
  6. Step 6: Final answer
    x = 98.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.