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Finding the Fourth Proportional to 252.42, 378.80 and 90.10

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Solution

The fourth proportional to 252.42, 378.80 and 90.10 is: 135.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.42 : 378.80 = 90.10 : x
  2. Step 2: Convert to fraction form
    252.42/378.80 = 90.10/x
  3. Step 3: Cross multiply
    252.42x = 378.80 × 90.10
  4. Step 4: Simplify right side
    252.42x = 34,129.88
  5. Step 5: Solve for x
    x = 34,129.88/252.42
  6. Step 6: Final answer
    x = 135.21

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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.