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Finding the Fourth Proportional to 73.80, 109.97 and 73.16

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Solution

The fourth proportional to 73.80, 109.97 and 73.16 is: 109.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.80 : 109.97 = 73.16 : x
  2. Step 2: Convert to fraction form
    73.80/109.97 = 73.16/x
  3. Step 3: Cross multiply
    73.80x = 109.97 × 73.16
  4. Step 4: Simplify right side
    73.80x = 8,045.41
  5. Step 5: Solve for x
    x = 8,045.41/73.80
  6. Step 6: Final answer
    x = 109.02

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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.