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Finding the Fourth Proportional to 75.84, 112.84 and 73.20

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Solution

The fourth proportional to 75.84, 112.84 and 73.20 is: 108.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.84 : 112.84 = 73.20 : x
  2. Step 2: Convert to fraction form
    75.84/112.84 = 73.20/x
  3. Step 3: Cross multiply
    75.84x = 112.84 × 73.20
  4. Step 4: Simplify right side
    75.84x = 8,259.89
  5. Step 5: Solve for x
    x = 8,259.89/75.84
  6. Step 6: Final answer
    x = 108.91

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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.