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Finding the Fourth Proportional to 48.30, 72.30 and 35.47

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Solution

The fourth proportional to 48.30, 72.30 and 35.47 is: 53.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.30 : 72.30 = 35.47 : x
  2. Step 2: Convert to fraction form
    48.30/72.30 = 35.47/x
  3. Step 3: Cross multiply
    48.30x = 72.30 × 35.47
  4. Step 4: Simplify right side
    48.30x = 2,564.48
  5. Step 5: Solve for x
    x = 2,564.48/48.30
  6. Step 6: Final answer
    x = 53.09

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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.