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Finding the Fourth Proportional to 75.17, 112.65 and 54.83

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Solution

The fourth proportional to 75.17, 112.65 and 54.83 is: 82.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.17 : 112.65 = 54.83 : x
  2. Step 2: Convert to fraction form
    75.17/112.65 = 54.83/x
  3. Step 3: Cross multiply
    75.17x = 112.65 × 54.83
  4. Step 4: Simplify right side
    75.17x = 6,176.60
  5. Step 5: Solve for x
    x = 6,176.60/75.17
  6. Step 6: Final answer
    x = 82.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.