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Finding the Fourth Proportional to 90.64, 125.08 and 51.82

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Solution

The fourth proportional to 90.64, 125.08 and 51.82 is: 71.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.64 : 125.08 = 51.82 : x
  2. Step 2: Convert to fraction form
    90.64/125.08 = 51.82/x
  3. Step 3: Cross multiply
    90.64x = 125.08 × 51.82
  4. Step 4: Simplify right side
    90.64x = 6,481.65
  5. Step 5: Solve for x
    x = 6,481.65/90.64
  6. Step 6: Final answer
    x = 71.51

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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.