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Finding the Fourth Proportional to 75.14, 112.72 and 23.77

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Solution

The fourth proportional to 75.14, 112.72 and 23.77 is: 35.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.14 : 112.72 = 23.77 : x
  2. Step 2: Convert to fraction form
    75.14/112.72 = 23.77/x
  3. Step 3: Cross multiply
    75.14x = 112.72 × 23.77
  4. Step 4: Simplify right side
    75.14x = 2,679.35
  5. Step 5: Solve for x
    x = 2,679.35/75.14
  6. Step 6: Final answer
    x = 35.66

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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.