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Finding the Fourth Proportional to 72.66, 108.43 and 71.54

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Solution

The fourth proportional to 72.66, 108.43 and 71.54 is: 106.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.66 : 108.43 = 71.54 : x
  2. Step 2: Convert to fraction form
    72.66/108.43 = 71.54/x
  3. Step 3: Cross multiply
    72.66x = 108.43 × 71.54
  4. Step 4: Simplify right side
    72.66x = 7,756.72
  5. Step 5: Solve for x
    x = 7,756.72/72.66
  6. Step 6: Final answer
    x = 106.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.