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Finding the Fourth Proportional to 90.93, 137.04 and 85.35

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Solution

The fourth proportional to 90.93, 137.04 and 85.35 is: 128.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.93 : 137.04 = 85.35 : x
  2. Step 2: Convert to fraction form
    90.93/137.04 = 85.35/x
  3. Step 3: Cross multiply
    90.93x = 137.04 × 85.35
  4. Step 4: Simplify right side
    90.93x = 11,696.36
  5. Step 5: Solve for x
    x = 11,696.36/90.93
  6. Step 6: Final answer
    x = 128.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.