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Finding the Fourth Proportional to 285.02, 427.30 and 102.41

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Solution

The fourth proportional to 285.02, 427.30 and 102.41 is: 153.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.02 : 427.30 = 102.41 : x
  2. Step 2: Convert to fraction form
    285.02/427.30 = 102.41/x
  3. Step 3: Cross multiply
    285.02x = 427.30 × 102.41
  4. Step 4: Simplify right side
    285.02x = 43,759.79
  5. Step 5: Solve for x
    x = 43,759.79/285.02
  6. Step 6: Final answer
    x = 153.53

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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.