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Finding the Fourth Proportional to 285.26, 427.65 and 90.14

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Solution

The fourth proportional to 285.26, 427.65 and 90.14 is: 135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.26 : 427.65 = 90.14 : x
  2. Step 2: Convert to fraction form
    285.26/427.65 = 90.14/x
  3. Step 3: Cross multiply
    285.26x = 427.65 × 90.14
  4. Step 4: Simplify right side
    285.26x = 38,546.23
  5. Step 5: Solve for x
    x = 38,546.23/285.26
  6. Step 6: Final answer
    x = 135.13

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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.