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Finding the Fourth Proportional to 90.88, 135.85 and 77.48

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Solution

The fourth proportional to 90.88, 135.85 and 77.48 is: 115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.88 : 135.85 = 77.48 : x
  2. Step 2: Convert to fraction form
    90.88/135.85 = 77.48/x
  3. Step 3: Cross multiply
    90.88x = 135.85 × 77.48
  4. Step 4: Simplify right side
    90.88x = 10,525.66
  5. Step 5: Solve for x
    x = 10,525.66/90.88
  6. Step 6: Final answer
    x = 115.82

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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.