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Finding the Fourth Proportional to 73.76, 109.76 and 72.04

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Solution

The fourth proportional to 73.76, 109.76 and 72.04 is: 107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.76 : 109.76 = 72.04 : x
  2. Step 2: Convert to fraction form
    73.76/109.76 = 72.04/x
  3. Step 3: Cross multiply
    73.76x = 109.76 × 72.04
  4. Step 4: Simplify right side
    73.76x = 7,907.11
  5. Step 5: Solve for x
    x = 7,907.11/73.76
  6. Step 6: Final answer
    x = 107.20

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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.