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Finding the Fourth Proportional to 136.50, 204.75 and 45.20

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Solution

The fourth proportional to 136.50, 204.75 and 45.20 is: 67.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.50 : 204.75 = 45.20 : x
  2. Step 2: Convert to fraction form
    136.50/204.75 = 45.20/x
  3. Step 3: Cross multiply
    136.50x = 204.75 × 45.20
  4. Step 4: Simplify right side
    136.50x = 9,254.47
  5. Step 5: Solve for x
    x = 9,254.47/136.50
  6. Step 6: Final answer
    x = 67.80

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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.