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Finding the Fourth Proportional to 48.28, 71.81 and 46.77

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Solution

The fourth proportional to 48.28, 71.81 and 46.77 is: 69.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.28 : 71.81 = 46.77 : x
  2. Step 2: Convert to fraction form
    48.28/71.81 = 46.77/x
  3. Step 3: Cross multiply
    48.28x = 71.81 × 46.77
  4. Step 4: Simplify right side
    48.28x = 3,358.55
  5. Step 5: Solve for x
    x = 3,358.55/48.28
  6. Step 6: Final answer
    x = 69.56

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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.