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Finding the Fourth Proportional to 96.90, 144.64 and 84.75

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Solution

The fourth proportional to 96.90, 144.64 and 84.75 is: 126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.90 : 144.64 = 84.75 : x
  2. Step 2: Convert to fraction form
    96.90/144.64 = 84.75/x
  3. Step 3: Cross multiply
    96.90x = 144.64 × 84.75
  4. Step 4: Simplify right side
    96.90x = 12,258.24
  5. Step 5: Solve for x
    x = 12,258.24/96.90
  6. Step 6: Final answer
    x = 126.50

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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.