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Finding the Fourth Proportional to 96.56, 133.04 and 78.08

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Solution

The fourth proportional to 96.56, 133.04 and 78.08 is: 107.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.56 : 133.04 = 78.08 : x
  2. Step 2: Convert to fraction form
    96.56/133.04 = 78.08/x
  3. Step 3: Cross multiply
    96.56x = 133.04 × 78.08
  4. Step 4: Simplify right side
    96.56x = 10,387.76
  5. Step 5: Solve for x
    x = 10,387.76/96.56
  6. Step 6: Final answer
    x = 107.58

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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.