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Finding the Fourth Proportional to 75.19, 112.65 and 54.81

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Solution

The fourth proportional to 75.19, 112.65 and 54.81 is: 82.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.19 : 112.65 = 54.81 : x
  2. Step 2: Convert to fraction form
    75.19/112.65 = 54.81/x
  3. Step 3: Cross multiply
    75.19x = 112.65 × 54.81
  4. Step 4: Simplify right side
    75.19x = 6,174.35
  5. Step 5: Solve for x
    x = 6,174.35/75.19
  6. Step 6: Final answer
    x = 82.12

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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.