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Finding the Fourth Proportional to 72.95, 109.80 and 55.94

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Solution

The fourth proportional to 72.95, 109.80 and 55.94 is: 84.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.95 : 109.80 = 55.94 : x
  2. Step 2: Convert to fraction form
    72.95/109.80 = 55.94/x
  3. Step 3: Cross multiply
    72.95x = 109.80 × 55.94
  4. Step 4: Simplify right side
    72.95x = 6,141.66
  5. Step 5: Solve for x
    x = 6,141.66/72.95
  6. Step 6: Final answer
    x = 84.20

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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.