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Finding the Fourth Proportional to 91.26, 125.80 and 76.50

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Solution

The fourth proportional to 91.26, 125.80 and 76.50 is: 105.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.26 : 125.80 = 76.50 : x
  2. Step 2: Convert to fraction form
    91.26/125.80 = 76.50/x
  3. Step 3: Cross multiply
    91.26x = 125.80 × 76.50
  4. Step 4: Simplify right side
    91.26x = 9,623.51
  5. Step 5: Solve for x
    x = 9,623.51/91.26
  6. Step 6: Final answer
    x = 105.45

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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.