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Finding the Fourth Proportional to 90.08, 135.03 and 82.16

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Solution

The fourth proportional to 90.08, 135.03 and 82.16 is: 123.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.08 : 135.03 = 82.16 : x
  2. Step 2: Convert to fraction form
    90.08/135.03 = 82.16/x
  3. Step 3: Cross multiply
    90.08x = 135.03 × 82.16
  4. Step 4: Simplify right side
    90.08x = 11,094.06
  5. Step 5: Solve for x
    x = 11,094.06/90.08
  6. Step 6: Final answer
    x = 123.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.