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Finding the Fourth Proportional to 75.63, 104.27 and 74.61

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Solution

The fourth proportional to 75.63, 104.27 and 74.61 is: 102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.63 : 104.27 = 74.61 : x
  2. Step 2: Convert to fraction form
    75.63/104.27 = 74.61/x
  3. Step 3: Cross multiply
    75.63x = 104.27 × 74.61
  4. Step 4: Simplify right side
    75.63x = 7,779.21
  5. Step 5: Solve for x
    x = 7,779.21/75.63
  6. Step 6: Final answer
    x = 102.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.