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Finding the Fourth Proportional to 96.98, 144.75 and 89.42

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Solution

The fourth proportional to 96.98, 144.75 and 89.42 is: 133.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.98 : 144.75 = 89.42 : x
  2. Step 2: Convert to fraction form
    96.98/144.75 = 89.42/x
  3. Step 3: Cross multiply
    96.98x = 144.75 × 89.42
  4. Step 4: Simplify right side
    96.98x = 12,943.10
  5. Step 5: Solve for x
    x = 12,943.10/96.98
  6. Step 6: Final answer
    x = 133.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.