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Finding the Fourth Proportional to 90.98, 125.51 and 66.05

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Solution

The fourth proportional to 90.98, 125.51 and 66.05 is: 91.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.98 : 125.51 = 66.05 : x
  2. Step 2: Convert to fraction form
    90.98/125.51 = 66.05/x
  3. Step 3: Cross multiply
    90.98x = 125.51 × 66.05
  4. Step 4: Simplify right side
    90.98x = 8,290.02
  5. Step 5: Solve for x
    x = 8,290.02/90.98
  6. Step 6: Final answer
    x = 91.12

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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.