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Finding the Fourth Proportional to 90.77, 135.59 and 67.82

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Solution

The fourth proportional to 90.77, 135.59 and 67.82 is: 101.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.77 : 135.59 = 67.82 : x
  2. Step 2: Convert to fraction form
    90.77/135.59 = 67.82/x
  3. Step 3: Cross multiply
    90.77x = 135.59 × 67.82
  4. Step 4: Simplify right side
    90.77x = 9,195.71
  5. Step 5: Solve for x
    x = 9,195.71/90.77
  6. Step 6: Final answer
    x = 101.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.