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Finding the Fourth Proportional to 96.90, 133.67 and 58.08

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Solution

The fourth proportional to 96.90, 133.67 and 58.08 is: 80.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.90 : 133.67 = 58.08 : x
  2. Step 2: Convert to fraction form
    96.90/133.67 = 58.08/x
  3. Step 3: Cross multiply
    96.90x = 133.67 × 58.08
  4. Step 4: Simplify right side
    96.90x = 7,763.55
  5. Step 5: Solve for x
    x = 7,763.55/96.90
  6. Step 6: Final answer
    x = 80.12

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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.