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Finding the Fourth Proportional to 35.70, 53.36 and 28.50

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Solution

The fourth proportional to 35.70, 53.36 and 28.50 is: 42.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.70 : 53.36 = 28.50 : x
  2. Step 2: Convert to fraction form
    35.70/53.36 = 28.50/x
  3. Step 3: Cross multiply
    35.70x = 53.36 × 28.50
  4. Step 4: Simplify right side
    35.70x = 1,520.62
  5. Step 5: Solve for x
    x = 1,520.62/35.70
  6. Step 6: Final answer
    x = 42.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.