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Finding the Fourth Proportional to 73.68, 111.30 and 73.08

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Solution

The fourth proportional to 73.68, 111.30 and 73.08 is: 110.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.68 : 111.30 = 73.08 : x
  2. Step 2: Convert to fraction form
    73.68/111.30 = 73.08/x
  3. Step 3: Cross multiply
    73.68x = 111.30 × 73.08
  4. Step 4: Simplify right side
    73.68x = 8,133.80
  5. Step 5: Solve for x
    x = 8,133.80/73.68
  6. Step 6: Final answer
    x = 110.39

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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.