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Finding the Fourth Proportional to 69.54, 96.06 and 58.74

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Solution

The fourth proportional to 69.54, 96.06 and 58.74 is: 81.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.54 : 96.06 = 58.74 : x
  2. Step 2: Convert to fraction form
    69.54/96.06 = 58.74/x
  3. Step 3: Cross multiply
    69.54x = 96.06 × 58.74
  4. Step 4: Simplify right side
    69.54x = 5,642.56
  5. Step 5: Solve for x
    x = 5,642.56/69.54
  6. Step 6: Final answer
    x = 81.14

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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.