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Finding the Fourth Proportional to 90.82, 125.35 and 76.98

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Solution

The fourth proportional to 90.82, 125.35 and 76.98 is: 106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.82 : 125.35 = 76.98 : x
  2. Step 2: Convert to fraction form
    90.82/125.35 = 76.98/x
  3. Step 3: Cross multiply
    90.82x = 125.35 × 76.98
  4. Step 4: Simplify right side
    90.82x = 9,649.72
  5. Step 5: Solve for x
    x = 9,649.72/90.82
  6. Step 6: Final answer
    x = 106.25

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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.