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Finding the Fourth Proportional to 96.60, 133.55 and 74.54

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Solution

The fourth proportional to 96.60, 133.55 and 74.54 is: 103.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.60 : 133.55 = 74.54 : x
  2. Step 2: Convert to fraction form
    96.60/133.55 = 74.54/x
  3. Step 3: Cross multiply
    96.60x = 133.55 × 74.54
  4. Step 4: Simplify right side
    96.60x = 9,954.82
  5. Step 5: Solve for x
    x = 9,954.82/96.60
  6. Step 6: Final answer
    x = 103.05

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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.