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Finding the Fourth Proportional to 285.09, 427.64 and 90.21

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Solution

The fourth proportional to 285.09, 427.64 and 90.21 is: 135.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.09 : 427.64 = 90.21 : x
  2. Step 2: Convert to fraction form
    285.09/427.64 = 90.21/x
  3. Step 3: Cross multiply
    285.09x = 427.64 × 90.21
  4. Step 4: Simplify right side
    285.09x = 38,576.95
  5. Step 5: Solve for x
    x = 38,576.95/285.09
  6. Step 6: Final answer
    x = 135.32

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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.