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Finding the Fourth Proportional to 35.25, 52.60 and 32.54

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Solution

The fourth proportional to 35.25, 52.60 and 32.54 is: 48.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.25 : 52.60 = 32.54 : x
  2. Step 2: Convert to fraction form
    35.25/52.60 = 32.54/x
  3. Step 3: Cross multiply
    35.25x = 52.60 × 32.54
  4. Step 4: Simplify right side
    35.25x = 1,711.60
  5. Step 5: Solve for x
    x = 1,711.60/35.25
  6. Step 6: Final answer
    x = 48.56

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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.