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Finding the Fourth Proportional to 67.64, 93.25 and 55.34

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Solution

The fourth proportional to 67.64, 93.25 and 55.34 is: 76.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.64 : 93.25 = 55.34 : x
  2. Step 2: Convert to fraction form
    67.64/93.25 = 55.34/x
  3. Step 3: Cross multiply
    67.64x = 93.25 × 55.34
  4. Step 4: Simplify right side
    67.64x = 5,159.85
  5. Step 5: Solve for x
    x = 5,159.85/67.64
  6. Step 6: Final answer
    x = 76.28

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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.