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Finding the Fourth Proportional to 69.06, 95.32 and 55.30

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Solution

The fourth proportional to 69.06, 95.32 and 55.30 is: 76.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.06 : 95.32 = 55.30 : x
  2. Step 2: Convert to fraction form
    69.06/95.32 = 55.30/x
  3. Step 3: Cross multiply
    69.06x = 95.32 × 55.30
  4. Step 4: Simplify right side
    69.06x = 5,271.20
  5. Step 5: Solve for x
    x = 5,271.20/69.06
  6. Step 6: Final answer
    x = 76.33

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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.