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Finding the Fourth Proportional to 72.71, 109.48 and 54.83

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Solution

The fourth proportional to 72.71, 109.48 and 54.83 is: 82.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.71 : 109.48 = 54.83 : x
  2. Step 2: Convert to fraction form
    72.71/109.48 = 54.83/x
  3. Step 3: Cross multiply
    72.71x = 109.48 × 54.83
  4. Step 4: Simplify right side
    72.71x = 6,002.51
  5. Step 5: Solve for x
    x = 6,002.51/72.71
  6. Step 6: Final answer
    x = 82.55

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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.