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Finding the Fourth Proportional to 48.76, 67.30 and 35.02

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Solution

The fourth proportional to 48.76, 67.30 and 35.02 is: 48.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.76 : 67.30 = 35.02 : x
  2. Step 2: Convert to fraction form
    48.76/67.30 = 35.02/x
  3. Step 3: Cross multiply
    48.76x = 67.30 × 35.02
  4. Step 4: Simplify right side
    48.76x = 2,356.85
  5. Step 5: Solve for x
    x = 2,356.85/48.76
  6. Step 6: Final answer
    x = 48.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.