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Finding the Fourth Proportional to 91.49, 137.10 and 73.49

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Solution

The fourth proportional to 91.49, 137.10 and 73.49 is: 110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.49 : 137.10 = 73.49 : x
  2. Step 2: Convert to fraction form
    91.49/137.10 = 73.49/x
  3. Step 3: Cross multiply
    91.49x = 137.10 × 73.49
  4. Step 4: Simplify right side
    91.49x = 10,075.48
  5. Step 5: Solve for x
    x = 10,075.48/91.49
  6. Step 6: Final answer
    x = 110.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.