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Finding the Fourth Proportional to 134.98, 186.27 and 75.96

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Solution

The fourth proportional to 134.98, 186.27 and 75.96 is: 104.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.98 : 186.27 = 75.96 : x
  2. Step 2: Convert to fraction form
    134.98/186.27 = 75.96/x
  3. Step 3: Cross multiply
    134.98x = 186.27 × 75.96
  4. Step 4: Simplify right side
    134.98x = 14,148.77
  5. Step 5: Solve for x
    x = 14,148.77/134.98
  6. Step 6: Final answer
    x = 104.82

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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.