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Finding the Fourth Proportional to 73.68, 111.16 and 73.68

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Solution

The fourth proportional to 73.68, 111.16 and 73.68 is: 111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.68 : 111.16 = 73.68 : x
  2. Step 2: Convert to fraction form
    73.68/111.16 = 73.68/x
  3. Step 3: Cross multiply
    73.68x = 111.16 × 73.68
  4. Step 4: Simplify right side
    73.68x = 8,190.27
  5. Step 5: Solve for x
    x = 8,190.27/73.68
  6. Step 6: Final answer
    x = 111.16

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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.