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Finding the Fourth Proportional to 91.09, 137.44 and 88.06

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Solution

The fourth proportional to 91.09, 137.44 and 88.06 is: 132.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.09 : 137.44 = 88.06 : x
  2. Step 2: Convert to fraction form
    91.09/137.44 = 88.06/x
  3. Step 3: Cross multiply
    91.09x = 137.44 × 88.06
  4. Step 4: Simplify right side
    91.09x = 12,102.97
  5. Step 5: Solve for x
    x = 12,102.97/91.09
  6. Step 6: Final answer
    x = 132.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.