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Finding the Fourth Proportional to 67.76, 93.66 and 64.88

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Solution

The fourth proportional to 67.76, 93.66 and 64.88 is: 89.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.76 : 93.66 = 64.88 : x
  2. Step 2: Convert to fraction form
    67.76/93.66 = 64.88/x
  3. Step 3: Cross multiply
    67.76x = 93.66 × 64.88
  4. Step 4: Simplify right side
    67.76x = 6,076.66
  5. Step 5: Solve for x
    x = 6,076.66/67.76
  6. Step 6: Final answer
    x = 89.68

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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.